EMTeachline hyperbolic problem solving software - hyperbolic trigonometry tutorial
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EMSolution Hyperbolic short

EMSolution Hyperbolic short
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Get an effective help in learning problem-solving skills and grasping math concepts! EMSolution offers an infinite number of fully explained solutions. Each solution evolves step by step; each step of solution is provided with its objective, grounding definition and rule and with underlying formula or theorem. EMSolution encourages students to learn through in-depth understanding of each solution step and repetition rather than through rote memorization. You can review solutions step by step, learn related math concepts, study solution methods, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language! For math teachers, EMSolution offers a number of easy-to-use test authoring options. You can select problems by topic, solution method and complexity level, prepare printable math tests and develop numerous test variants literally in a minute. A difficulty scale for each task will assist teachers in a class of mixed ability students. Free fully functional downloadable version of EMSolution is available. Free online demos allow trying most of the user options and viewing examples of fully explained solutions.



Parameters of the program
Name of program:
EMSolution_Hyperbolic_short
Number of problems:
41087
Number of similar variants:
1
Languages of interface:
English, German
Price:
74 EUR
Size of archive:
4945 kb

41087 hyperbolic problems. Fully explained step-by-step solutions. All hyperbolic and arc-hyperbolic functions included. Transformation, simplification and evaluation of hyperbolic expressions. Proof of hyperbolic identities. Solution of hyperbolic equations. Related theory. Option of translation. Sorting problems complexity levels and solution methods. Authoring options enabling development of tests, quizzes, exams and problem solving lesson plans. Automatic generation of variant tests. Dozens of ready tests.


System Requirements:

Pentium 2 or higher

64 MB RAM

Windows 98 or higher

Internet Explorer 5.5 or higher

Plug-in MathPlayer (downloadable from here)


Program's detail
Examples
Press release
Contents of the program
Characteristics of similar programs

Examples

An online sample of math problems and problem solutions from this program is provided below:

Problems: Hyperbolic

back EMTEACHLINE MATHEMATICS SOFTWARE: MATH PROBLEM SOLVING FOR KIDS AND TEENS

Press release

ABSTRACT. EMTeachline Software has released a PC-based mathematics software package that offers a huge collection of problem-solving lessons in arithmetic, pre-algebra, algebra, trigonometry and hyperbolic trigonometry with hands-on tutorials. This encyclopedic software contains hundreds of thousands of fully explained step by step solutions to math problems from basic to advanced and thousands of related definitions, rules, math formulas and theorems. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. The software helps children review, explore and effectively learn essential math skills. Easy-to-use test authoring tools enable math teachers to develop customizable math tests, variant tests, quizzes, exams and problem-solving lesson plans. The software is suitable for elementary, middle and high school use. Designed as a supplement classroom instruction. Provides a useful help for math teachers.

1. SOFTWARE OVERVIEW

Building problem solving skills in math requires grasping math concepts and a large amount of training in solving similar tasks. EMTeachline Mathematics Software provides children with the chance to do just that. This software encourages kids to learn through in-depth understanding of each solution step and repetition rather than through rote memorization. Children who are struggling in math learn best through repetition. Those who stick with this mathematics software will come away with a stronger understanding of fundamental math concepts, improved higher-level thinking skills and excellent skills in solving math problems.

EMTeachline Mathematics Problem Solving Software - EMSolution - consists of dozens of modules arranged in topics. Each module offers hundreds of math problem types, with dozens of similar math problems within one type. Math learning is effective when problems gradually advance in difficulty. This software offers 11 levels of complexity for each problem type, from basic to extra difficult. Kids who are strong in math and need a challenge can adjust the difficulty level at any moment.

Learners can review solutions step by step and study related math theory. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. This tutoring material is provided in a useful manner, so that it is always under hand. A set of ready math tests is designed for children to review and reinforce their math skills. Problem situations, solutions and tutoring material can be printed out.

More than just a math tutorial, this bilingual problem-solving software offers a way for children to learn math lexicon in a foreign language. Translation of any text to German (or another language) is easily obtained by double-clicking on it. Those who study not in a native language will find this option particularly attractive.

Test authoring options make development of math tests, quizzes, homeworks and exams an easy and creative work. With thousands math problems at hands, math teachers do not have to search for fresh exmples. You can select math problems by complexity levels, solution methods and types of tasks; develop customizable math tests of varied complexity in a minute; create your own didactic materials and problem-solving lesson plans, and generate numerous similar variant tests around a constructed example. All developed materials can be printed out or stored in a file and re-used. These easy-to-use authoring tools provide an ideal solution for a classroom teacher.

Let's be honest -- this program is not for fun-seekers. No sounds, no colorful visual effects. The tutorial material is presented in a dry academic fashion. Most kids would use this program to review for an exam that they are required to take. However, the contents hold much appeal for children who enjoy solving math problems and like challenges. Those who look for a systematic math knowledge will find the software to be particularly engaging.

2. SKILLS COVERED

Arithmetic and Pre-Algebra: Operations: multiplication, division, addition, subtraction. Fractions, powers. Numeric expressions: estimation, equivalencies, problem-solving. Solving arithmetic problems using algebraic formulas.

Algebra: Polynomial and fractional rational expressions: transformation, simplification, evaluation. Solution of linear, quadratic, cubic, biquadratic, reciprocal and fractional algebraic equations and inequalities. Proofs of algebraic identities. Solution methods: Substitution, factoring, grouping, Bezout theorem, formulas of short multiplication, method of intervals and more. Related theory: definitions and rules, proof of algebraic formulas and theorems.

Trigonometry and Hyperbolic Trigonometry: trigonometric and hyperbolic functions, arcus functions. Trigonometric and hyperbolic expressions: transformation, simplification, evaluation. Solution of trigonometric and hyperbolic equations. Proofs of trigonometric and hyperbolic identities. Solution methods: universal substitution, sum, product and addition of trigonometric functions, power reduction, multiple argument, shift of argument and more. Related theory: definitions and rules, proof of trigonometric and hyperbolic formulas.

3. USER OPTIONS

For math students: You can review solutions of math problems step by step, learn related math concepts, study solution methods, review proofs of used math formulas, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language!

For math teachers: You can use an extensive bank of math problems; arrange problems by topic, complexity level, solution method and type of task; compile math tests, quizzes, homeworks and exams of varied complexity; create your own didactic materials and problem-solving lesson plans; generate numerous similar variant math tests around a constructed example. You can use dozens of ready variant tests.


back Contents of the program

Themes

Chapters and sections
back Hyperbolic expressions. Computational problems
Chapters
Sections

Evaluation of linear expressions and expressions reduced to them

  • Evaluation of linear expressions and expressions reduced to them. Elementary linear expressions. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Distributive law. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Properties of powers. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Expressions reduced to linear expressions. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication. Evaluation
  • Evaluation of linear expressions and expressions reduced to them. Linear expressions. Properties of fractions. Distributive law. Evaluation

Evaluation of quadratic expressions and expressions reduced to them

  • Evaluation of quadratic expressions and expressions reduced to them. Elementary quadratic expressions. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Distributive law. Integer coefficients. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Formulas of short multiplication. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Distributive law. Rational coefficients. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Factorization of quadratic trinomial. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Properties of powers. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Method of substitution. Distributive law. Integer coefficients. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Method of substitution. Distributive law. Rational coefficients. Evaluation
  • Evaluation of quadratic expressions and expressions reduced to them. Expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Rational coefficients. Evaluation

Comparison of values of linear expressions and expressions reduced to them

  • Comparison of values of linear expressions and expressions reduced to them. Elementary linear inequalities
  • Comparison of values of linear expressions and expressions reduced to them. Elementary linear inequalities containing fractions
  • Comparison of values of linear expressions and expressions reduced to them. Linear inequalities. Distributive law
  • Comparison of values of linear expressions and expressions reduced to them. Linear inequalities. Formulas of short multiplication
  • Comparison of values of linear expressions and expressions reduced to them. Linear inequalities. Formulas of short multiplication. Cubes. Comparison of values
  • Comparison of values of linear expressions and expressions reduced to them. Linear inequalities. Properties of powers. Comparison of values
  • Comparison of values of linear expressions and expressions reduced to them. Inequalities reduced to linear inequalities. Comparison of values
  • Comparison of values of linear expressions and expressions reduced to them. Fractional inequalities. Properties of fractions. Integer coefficients. Comparison of values
  • Comparison of values of linear expressions and expressions reduced to them. Fractional inequalities. Method of substitution. Integer coefficients. Comparison of values

Comparison of values of quadratic expressions and expressions reduced to them

  • Comparison of values of quadratic expressions and expressions reduced to them. Elementary quadratic expressions. Comparison
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare quadratic expressions containing fractions
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Distributive law. Integer coefficients
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Formulas of short multiplication
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Distributive law. Rational coefficients
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Factorization of quadratic trinomial
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Properties of powers
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Grouping method
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Method of substitution. Distributive law. Integer coefficients
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Method of substitution. Distributive law. Rational coefficients
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Comparison of values of quadratic expressions and expressions reduced to them. Compare expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Rational coefficients

back Hyperbolic expressions. Transformations and proofs
Chapters
Sections

Transformation of linear expressions and expressions reduced to them

  • Transformation of linear expressions and expressions reduced to them. Elementary linear expressions
  • Transformation of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Distributive law
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
  • Transformation of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
  • Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
  • Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
  • Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
  • Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
  • Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Transformation of quadratic algebraic expressions and expressions reduced to them

  • Transformation of quadratic algebraic expressions and expressions reduced to them. Elementary quadratic expressions
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions containing fractions
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Decomposition of quadratic trinomial
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Grouping method
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Transformation of algebraic high-degree expressions

  • Transformation of algebraic high-degree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
  • Transformation of algebraic high-degree expressions. High degrees. Bezout theorem. Irrational roots
  • Transformation of algebraic high-degree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
  • Transformation of algebraic high-degree expressions. High degrees. Grouping method
  • Transformation of algebraic high-degree expressions. High degrees. Perfect square
  • Transformation of algebraic high-degree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
  • Transformation of algebraic high-degree expressions. High degrees. Formulas of short multiplication
  • Transformation of algebraic high-degree expressions. High degrees. Difference of squares
  • Transformation of algebraic high-degree expressions. High degrees. Factorization of quadratic trinomial
  • Transformation of algebraic high-degree expressions. High degrees. Properties of fractions
  • Transformation of algebraic high-degree expressions. High degrees. Difference and sum of cubes
  • Transformation of algebraic high-degree expressions. High degrees. Method of substitution

Factorization of linear expressions and expressions reduced to them

  • Factorization of linear expressions and expressions reduced to them. Elementary linear expressions
  • Factorization of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Distributive law
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
  • Factorization of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
  • Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
  • Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
  • Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
  • Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
  • Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Factorization of quadratic expressions and expressions reduced to them

  • Factorization of quadratic expressions and expressions reduced to them. Elementary quadratic expressions
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Factorization of algebraic high-degree expressions

  • Factorization of algebraic high-degree expressions. High degrees. Grouping method
  • Factorization of algebraic high-degree expressions. High degrees. Perfect square
  • Factorization of algebraic high-degree expressions. High degrees. Difference of squares
  • Factorization of algebraic high-degree expressions. High degrees. Factorization of quadratic trinomial
  • Factorization of algebraic high-degree expressions. High degrees. Properties of fractions
  • Factorization of algebraic high-degree expressions. High degrees. Difference and sum of cubes

Proof of identities related with linear expressions and expressions reduced to them

  • Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions
  • Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Distributive law
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of powers
  • Proof of identities related with linear expressions and expressions reduced to them. Expressions reduced to linear expressions
  • Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
  • Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
  • Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
  • Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication
  • Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of fractions. Distributive law

Proof of identities related with quadratic expressions and expressions reduced to them

  • Proof of identities related with quadratic expressions and expressions reduced to them. Elementary quadratic expressions
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Distributive law. Rational coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Proof of identities related with high-degree expressions

  • Proof of identities related with high-degree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
  • Proof of identities related with high-degree expressions. High degrees. Bezout theorem. Irrational roots
  • Proof of identities related with high-degree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
  • Proof of identities related with high-degree expressions. High degrees. Grouping method
  • Proof of identities related with high-degree expressions. High degrees. Perfect square
  • Proof of identities related with high-degree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
  • Proof of identities related with high-degree expressions. High degrees. Formulas of short multiplication
  • Proof of identities related with high-degree expressions. High degrees. Difference of squares
  • Proof of identities related with high-degree expressions. High degrees. Factorization of quadratic trinomial
  • Proof of identities related with high-degree expressions. High degrees. Properties of fractions
  • Proof of identities related with high-degree expressions. High degrees. Difference and sum of cubes
  • Proof of identities related with high-degree expressions. High degrees. Method of substitution

Proof of identities related with fractional algebraic expressions

  • Proof of identities related with fractional algebraic expressions. Elementary fractional algebraic expressions
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with linear expression in numerator
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with cubic expression in numerator
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator
  • Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Method of substitution

back Hyperbolic equations
Chapters
Sections

Hyperbolic equations reduced to rational equations. Function sh

  • Hyperbolic equations reduced to rational equations. Function sh. Elementary linear equations
  • Hyperbolic equations reduced to rational equations. Function sh. Equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function sh. Equations reduced to linear equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function sh. Linear equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function sh. Linear equations. Formulas of short multiplication. Cubes
  • Hyperbolic equations reduced to rational equations. Function sh. Linear equations. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function sh. Linear equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function sh. Homographic equations with rational coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function sh. Homographic equations with integer coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function sh. Homographic equations with rational coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function sh. Homographic equations with integer coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function sh. Equations reduced to linear. Method of substitution. Distributive law
  • Hyperbolic equations reduced to rational equations. Function sh. Elementary quadratic equations
  • Hyperbolic equations reduced to rational equations. Function sh. Equations with integer coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function sh. Quadratic equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function sh. Quadratic equations with rational coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function sh. Equations reduced to quadratic. Factorization of quadratic trinomial
  • Hyperbolic equations reduced to rational equations. Function sh. Equations reduced to quadratic. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional algebraic equations reduced to quadratic equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function sh. Quadratic equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function sh. Equations. Grouping method
  • Hyperbolic equations reduced to rational equations. Function sh. Equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function sh. Equations. Method of substitution. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function sh. High-degree equations. Perfect square
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional algebraic equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional algebraic equations reduced to quadratic equations
  • Hyperbolic equations reduced to rational equations. Function sh. Elementary fractional algebraic equations
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional algebraic equations reduced to quadratic equations. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function sh. Fractional algebraic equations. Method of substitution

Hyperbolic equations reduced to rational equations. Function ch

  • Hyperbolic equations reduced to rational equations. Function ch. Elementary linear equations
  • Hyperbolic equations reduced to rational equations. Function ch. Equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function ch. Equations reduced to linear equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function ch. Linear equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function ch. Linear equations. Formulas of short multiplication. Cubes
  • Hyperbolic equations reduced to rational equations. Function ch. Linear equations. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function ch. Linear equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function ch. Homographic equations with rational coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function ch. Homographic equations with integer coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function ch. Homographic equations with rational coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function ch. Homographic equations with integer coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function ch. Equations reduced to linear. Method of substitution. Distributive law
  • Hyperbolic equations reduced to rational equations. Function ch. Elementary quadratic equations
  • Hyperbolic equations reduced to rational equations. Function ch. Equations with integer coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function ch. Quadratic equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function ch. Quadratic equations with rational coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function ch. Equations reduced to quadratic. Factorization of quadratic trinomial
  • Hyperbolic equations reduced to rational equations. Function ch. Equations reduced to quadratic. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional algebraic equations reduced to quadratic equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function ch. Quadratic equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function ch. Equations. Grouping method
  • Hyperbolic equations reduced to rational equations. Function ch. Equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function ch. Equations. Method of substitution. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function ch. High-degree equations. Perfect square
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional algebraic equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional algebraic equations reduced to quadratic equations
  • Hyperbolic equations reduced to rational equations. Function ch. Elementary fractional algebraic equations
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional algebraic equations reduced to quadratic equations. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function ch. Fractional algebraic equations. Method of substitution

Hyperbolic equations reduced to rational equations. Function th

  • Hyperbolic equations reduced to rational equations. Function th. Elementary linear equations
  • Hyperbolic equations reduced to rational equations. Function th. Equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function th. Equations reduced to linear equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function th. Linear equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function th. Linear equations. Formulas of short multiplication. Cubes
  • Hyperbolic equations reduced to rational equations. Function th. Linear equations. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function th. Linear equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function th. Homographic equations with rational coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function th. Homographic equations with integer coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function th. Homographic equations with rational coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function th. Homographic equations with integer coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function th. Equations reduced to linear. Method of substitution. Distributive law
  • Hyperbolic equations reduced to rational equations. Function th. Elementary quadratic equations
  • Hyperbolic equations reduced to rational equations. Function th. Equations with integer coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function th. Quadratic equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function th. Quadratic equations with rational coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function th. Equations reduced to quadratic. Factorization of quadratic trinomial
  • Hyperbolic equations reduced to rational equations. Function th. Equations reduced to quadratic. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function th. Fractional algebraic equations reduced to quadratic equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function th. Quadratic equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function th. Equations. Grouping method
  • Hyperbolic equations reduced to rational equations. Function th. Equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function th. Equations. Method of substitution. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function th. Fractional equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function th. High-degree equations. Perfect square
  • Hyperbolic equations reduced to rational equations. Function th. Fractional algebraic equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function th. Fractional algebraic equations reduced to quadratic equations
  • Hyperbolic equations reduced to rational equations. Function th. Elementary fractional algebraic equations
  • Hyperbolic equations reduced to rational equations. Function th. Fractional algebraic equations reduced to quadratic equations. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function th. Fractional algebraic equations. Method of substitution

Hyperbolic equations reduced to rational equations. Function cth

  • Hyperbolic equations reduced to rational equations. Function cth. Elementary linear equations
  • Hyperbolic equations reduced to rational equations. Function cth. Equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function cth. Equations reduced to linear equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function cth. Linear equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function cth. Linear equations. Formulas of short multiplication. Cubes
  • Hyperbolic equations reduced to rational equations. Function cth. Linear equations. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function cth. Linear equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function cth. Homographic equations with rational coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function cth. Homographic equations with integer coefficients. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function cth. Homographic equations with rational coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function cth. Homographic equations with integer coefficients. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function cth. Equations reduced to linear. Method of substitution. Distributive law
  • Hyperbolic equations reduced to rational equations. Function cth. Elementary quadratic equations
  • Hyperbolic equations reduced to rational equations. Function cth. Equations with integer coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function cth. Quadratic equations. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function cth. Quadratic equations with rational coefficients. Distributive law
  • Hyperbolic equations reduced to rational equations. Function cth. Equations reduced to quadratic. Factorization of quadratic trinomial
  • Hyperbolic equations reduced to rational equations. Function cth. Equations reduced to quadratic. Properties of powers
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional algebraic equations reduced to quadratic equations. Distributive law
  • Hyperbolic equations reduced to rational equations. Function cth. Quadratic equations containing fractions
  • Hyperbolic equations reduced to rational equations. Function cth. Equations. Grouping method
  • Hyperbolic equations reduced to rational equations. Function cth. Equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function cth. Equations. Method of substitution. Properties of fractions
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional equations. Method of substitution. Formulas of short multiplication
  • Hyperbolic equations reduced to rational equations. Function cth. High-degree equations. Perfect square
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional algebraic equations reduced to linear equations
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional algebraic equations reduced to quadratic equations
  • Hyperbolic equations reduced to rational equations. Function cth. Elementary fractional algebraic equations
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional algebraic equations reduced to quadratic equations. Method of substitution
  • Hyperbolic equations reduced to rational equations. Function cth. Fractional algebraic equations. Method of substitution

Hyperbolic equations reducible to quadratic equations

  • Hyperbolic equations reducible to quadratic equations. Fundamental identity
  • Hyperbolic equations reducible to quadratic equations. Double angle
  • Hyperbolic equations reducible to quadratic equations. Fundamental identity. Double angle

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