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In this Video we will learn how to Prove Trigonometric Identities Using Basic Trigonometric Identities. I will show you several examples from easy examples to hard examples. Basic trigonometric identities include: Reciprocal identities Csc θ = 1/Sin θ Sec θ = 1/Cos θ Cot θ = 1/Tan θ Pythagorean Identities sin^2 a cos^2 a = 1 1 tan^2 a = sec^2 a csc^2 a = 1 cot^2 a Quotient Identities Tan θ = Si...

In this Video we will learn how to Simplify Trigonometric Expressions Using Basic Trigonometric Identities. I will show you several examples from easy examples to hard examples. Basic trigonometric identities include: Reciprocal identities Csc θ = 1/Sin θ Sec θ = 1/Cos θ Cot θ = 1/Tan θ Pythagorean Identities sin^2 a cos^2 a = 1 1 tan^2 a = sec^2 a csc^2 a = 1 cot^2 a Quotient Identities Tan θ ...

In this video we will earn what is sigma notation and How to Write Sums in Sigma notation. Sigma notation is a mathematical notation used to represent the sum of a series of terms. It uses the Greek letter Σ (sigma) to signify summation. Applications: Used in arithmetic and geometric series. Found in calculus for approximating integrals and computing Riemann sums. Common in probability, statist...

In this video I 'm gonna show you how to solve quadratic equations by the completing the square method. We will do lots of examples. Completing the Square: Method to Solve Quadratic Equations Completing the square is a method used to solve quadratic equations by transforming the equation into a perfect square trinomial. This method is especially useful when you cannot easily factor the quadrati...

In this video we will learn how to use factoring method to solve quadratic equations The factoring method is one of the simplest ways to solve a quadratic equation. It works by expressing the quadratic equation as a product of two linear factors and then solving for the variable.

In this video we will earn what is quadratic formula and how to use it to solve equations. Steps to Solve Using the Quadratic Formula Identify a, b, and c from the equation. Substitute these values into the quadratic formula. Simplify the discriminant (b^2−4ac). Calculate the two solutions using and − in the formula.

In this video I will show you some hard and tricky examples about geometric series. A geometric series is the sum of the terms of a geometric sequence, where each term after the first is found by multiplying the previous term by a constant called the common ratio. Geometric series are important in various fields such as mathematics, physics, economics, and computer science, where they model exp...

In this video we will learn How to use discriminant to Determine Number of Real Solutions of Quadratic Equations. Quadratic Discriminant The discriminant of a quadratic equation helps determine the nature and number of the solutions (roots) of the equation. A quadratic equation is of the form: ^2 bx c=0 The discriminant is the part of the quadratic formula under the square root: D=b^2−4ac How t...

In this video we will learn how to solve linear equations with fraction numbers and faction coefficients and also in the form of fraction that can be written in the linear form. Solving linear equations is very important topic in Algebra. Solving Linear Equations A linear equation is an equation in which highest power of the variable is 1. The general form is: ax b=c where a, b, and c are const...

In this video we will learn how to solve linear equations. Solving linear equations is very important topic in Algebra. Solving Linear Equations A linear equation is an equation in which the highest power of the variable is 1. The general form is: ax b=c where a, b, and c are constants, and x is the variable. Steps to Solve Linear Equations Simplify Each Side: Expand parentheses and combine lik...

In this video we will learn how to solve equations for one variable in terms of others. Many formulas in physics and other sciences involve several variables and often we need to solve for one variable in terms of others. Solving an equation for one variable in terms of others involves isolating the desired variable on one side of the equation. This process typically uses basic algebraic operat...

In this video we will learn how to use special formulas to find product of Polynomials and Algebraic Expressions. Formulas like difference of squares, difference of cubes, sum of cubes, Perfect Square and other identities. We will do lots of examples.

In this video we will learn how to add subtract and multiply polynomials and other expressions. Also we will learn how to use identities to do multiplying expressions faster and easier. Adding and Subtracting Polynomials When adding or subtracting polynomials, you simply combine like terms-terms that have the same variable raised to the same power. Steps for Adding or Subtracting Polynomials: A...

In this video we will learn How to add subtract rational expressions. I will show you several examples to learn better. Some examples are really hard. Adding and subtracting rational expressions involves combining fractions with polynomial numerators and denominators. The steps are similar to adding or subtracting numerical fractions but require factoring and finding the least common denominato...

Adding Subtracting Multiplying and Dividing Rational Expressions - Compound or Complex Fractions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions - How to multiply or divide rational expressions

Rationalizing Numerator and Denominator - Rationalize Denominator

Factoring Expressions found in Calculus - Factoring Methods

Trigonometric Substitution - Sine Substitution - Trigonometric Substitution for Integrals

Identities for Factoring - Advanced Formulas for factoring

Trigonometric Substitution - Tangent Substitution - Trigonometric Substitution for Integrals

Limit of Sequences involving Rational Expressions - Convergent Divergent Sequences

Intro to Limit of A Sequence - Convergent or Divergent Sequences

Adding and Subtracting Suitable Term - Factor methods

Finding limit of Sequences using Squeeze or Sandwich Theorem - Sequences

Finding Limit of a Sequence using the Conjugate method - Sequences

Finding a formula for general term of a Sequence - Find formula for Sequnce

Finding limit of Sequences using L'Hospital Rule - Limit of a Sequence