Sum and Difference Identities to Simplify an Expression, Example 1
by
Patrick JMT

### Lecture Description

Sum and Difference Identities to Simplify an Expression, Example 1. In this video, I simply show how to simplify some expressions by using sum and difference identities. Nothing crazy, just showing how one must know identities to make things more manageable! For more free math videos, visit PatrickJMT.com

### Course Index

- Finding the Quadrant in Which an Angle Lies - Example 1
- Finding the Quadrant in Which an Angle Lies - Example 2
- Finding the Quadrant in Which an Angle Lies - Example 3
- Coterminal Angles - Example 1
- Coterminal Angles - Example 2
- Complementary and Supplementary Angles - Example 1
- Complementary and Supplementary Angles - Example 2
- Degrees and Radians and Converting Between Them! Example 1
- Arc Length Formula - Example 1
- Arc Length Formula - Example 2
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 1
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 2
- Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 3
- Finding an Angle Given the Value of a Trigonometric Function - Example 1
- Finding an Angle Given the Value of a Trigonometric Function - Example 2
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 1
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 2
- Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 3
- Finding the Height of an Object Using Trigonometry, Example 1
- Finding the Height of an Object Using Trigonometry, Example 2
- Finding the Height of an Object Using Trigonometry, Example 3
- Degrees and Radians
- A Way to remember the Entire Unit Circle for Trigonometry
- A Trick to Remember Values on The Unit Circle
- Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 1
- Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 2
- Reference Angle for an Angle, Ex 1 (Using Degrees)
- Reference Angle for an Angle, Ex 2 (Using Radians)
- Evaluating Trigonometric Functions Using the Reference Angle, Example 1
- Evaluating Trigonometric Functions Using the Reference Angle, Example 2
- Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 1
- Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 2
- Evaluating Trigonometric Functions at Important Angles, Ex 1
- Evaluating Trigonometric Functions at Important Angles, Ex 2
- The Graph of Cosine, y = cos (x)
- Graphing Sine and Cosine With Different Coefficients (Amplitude and Period), Ex 1
- Graphing y = -2 cos(2x)
- Maximum and Minimum Values of Sine and Cosine Functions, Ex 1
- Maximum and Minimum Values of Sine and Cosine Functions, Ex 2
- Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 1
- Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2
- Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 1
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 2
- Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 4
- Finding a Formula for a Trigonometric Graph, Ex 1
- Finding a Formula for a Trigonometric Graph, Ex 2
- Trigonometry Word Problem, Finding The Height of a Building, Example 1
- Trigonometry Word Problem, Example 2
- Trigonometry Word Problem, Determining the Speed of a Boat, Example 3
- Simplifying Trigonometric Expressions Using Identities, Example 1
- Simplifying Trigonometric Expressions Using Identities, Example 2
- Simplifying Trigonometric Expressions Using Identities, Example 3
- Simplifying Trigonometric Expressions Involving Fractions, Ex 1
- Simplifying Trigonometric Expressions Involving Fractions, Example 2
- Simplifying Products of Binomials Involving Trigonometric Functions, Ex 1
- Simplifying Products of Binomials Involving Trigonometric Functions, Ex 2
- Factoring Trigonometric Expressions, Example 1
- Factoring and Simplifying Trigonometric Expressions - Example 2
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 1
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 2
- Examples with Trigonometric Functions: Even, Odd or Neither, Example 3
- Even, Odd or Neither, Trigonometric Functions, Example 4
- Proving an Identity, Example 1
- Proving an Identity, Example 2
- Proving an Identity - Other Examples, Example 1
- Proving an Identity - Other Examples, Example 2
- Solving a Basic Trigonometric Equation, Example 1
- Solving a Basic Trigonometric Equation, Example 2
- Solving a Basic Trigonometric Equation, Example 3
- Solve Trigonometric Equation by Factoring, Example 1
- Solving a Trigonometric Equation by Factoring, Example 2
- Solving a Trigonometric Equation by Factoring, Example 3
- Solving Trigonometric Equation, Harder Example - Example 1
- Solving Trigonometric Equation, Harder Example - Example 2
- Solving Trigonometric Equation , Harder Exampe - Example 3
- Solving Trigonometric Equations Using the Quadratic Formula - Example 1
- Solving Trigonometric Equations Using the Quadratic Formula - Example 2
- Solving Trigonometric Equations Using the Quadratic Formula - Example 3
- Solving Word Problems Involving Trigonometric Equations, Example 1
- Solving Word Problems Involving Trigonometric Equations, Example 2
- Identities for Sum and Differences of Sine and Cosine, Example 1
- Identities for Sum and Differences of Sine and Cosine, Example 2
- Identities for Sum and Differences of Sine and Cosine, Example 3
- Sum and Difference Identities for Sine and Cosine, More Examples #1
- Sum and Difference Identities for Sine and Cosine, More Examples #2
- Sum and Difference Identities for Sine and Cosine, More Examples #3
- Sum and Difference Identities to Simplify an Expression, Example 1
- Sum and Difference Identities to Simplify an Expression, Example 2
- Sum and Difference Identities to Simplify an Expression, Example 3
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 1
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 2
- Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 3
- Using Double Angle Identities to Solve Equations, Example 1
- Using Double Angle Identities to Solve Equations, Example 2
- Using Double Angle Identities to Solve Equations, Example 3
- Word Problems Involving Multiple Angle Identities, Example 1
- Word Problems Involving Multiple Angle Identities, Example 2
- Word Problems Involving Multiple Angle Identities, Example 3
- Cofunction Identities, Example 2
- Cofunction Identities, Example 3
- Power Reducing Formulas for Sine and Cosine, Example 1
- Power Reducing Formulas for Sine and Cosine, Example 2
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 1
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 2
- Half Angle Identities to Evaluate Trigonometric Expressions, Example 3
- The Law of Sines, Example 1
- The Law of Sines, Example 2
- Law of Sines, Example 3
- Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 1
- Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 2
- Solving a Triangle, SSA, Example 1
- Solving a Triangle, SSA, Example 2
- Law of Sines - Application/Word Problem, Ex 1
- Law of Sines - Application / Word Problem, Ex 2
- Law of Sines - Application/Word Problem, Ex 3
- Heron's Formula, Example 1
- Heron's Formula, Ex 2
- Heron's Formula, Example 3
- Law of Cosines, Example 1
- Law of Cosines, Example 2
- Law of Cosines, Example 3
- Law of Cosines, Example 4
- Law of Cosines, Example 5
- Law of Cosines, Example 6
- Law of Cosines, Word Problem #1
- An Introduction to Vectors, Part 1
- When Are Two Vectors Considered to Be the Same?
- Magnitude and Direction of a Vector, Example 1
- Magnitude and Direction of a Vector, Example 2
- Magnitude and Direction of a Vector, Example 3
- Vector Addition and Scalar Multiplication, Example 1
- Vector Addition and Scalar Multiplication, Example 2
- Finding the Components of a Vector, Ex 1
- Finding the Components of a Vector, Ex 2
- Finding a Unit Vector, Ex 1
- Finding a Unit Vector, Ex 2
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
- Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
- Complex Numbers: Graphing and Finding the Modulus, Ex 1
- Complex Numbers: Graphing and Finding the Modulus, Ex 2
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 1
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 2
- Expressing a Complex Number in Trigonometric or Polar Form, Ex 3
- Complex Numbers: Convert From Polar to Complex Form, Ex 1
- Complex Numbers: Multiplying and Dividing in Polar Form, Ex 1
- Complex Numbers: Multiplying and Dividing in Polar Form, Ex 2
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 1
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 2
- DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 3
- Roots of Complex Numbers, Ex 1
- Roots of Complex Numbers, Ex 2
- Roots of Complex Numbers, Ex 3
- More Roots of Complex Numbers, Ex 1
- More Roots of Complex Numbers, Ex 2
- Roots of Unity, Example 1
- Roots of Unity, Ex 2
- Intro to Polar Coordinates, Ex 1
- Converting Between Polar and Rectangular (Cartesian) Coordinates, Ex 3
- Converting Between Polar and Rectangular Equations, Ex 1
- Converting Between Polar and Rectangular Equations, Ex 2
- Converting Between Polar and Rectangular Equations, Ex 3
- Graphing Simple Polar Equations, Ex 1
- Graphing Simple Polar Equations, Ex 2
- Graphing Special Polar Equations, Ex 1
- Graphing Special Polar Equations; How Many Petals Will a Graph Have?
- Basic Info About a Limacon

### Course Description

Patrick providers a full course with more than 150 video lectures covering everything from angles and trigonometry, to polar coordinates and complex numbers.

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