• ### E.1. Using Fundamental Trigonometric Identities

3. #### E.1.1. Using Fundamental Trigonometric Identities

1. E.1.1.O. Overview
2. E.1.1.1. Evaluate the six trigonometric functions
3. E.1.1.2. Simplify Trigonometric Expressions
4. E.1.1.3. Factoring Trigonometric Expressions
5. E.1.1.4. Multiplying Trigonometric Expressions
6. E.1.1.5. Adding and Subtracting Trigonometric Expressions
7. E.1.1.6. Rewriting Trigonometric Expressions
8. E.1.1.7. Trigonometric Substitution
9. E.1.1.8. Rewriting a Logarithmic Expression
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• ### E.2. Verifying Trigonometric Identities

3. #### E.2.1. Verifying Trigonometric Identities

1. E.2.1.O. Overview
2. E.2.1.1. Complete the trigonometric identity
3. E.2.1.2. Verify a Trigonometric Identity Algebraically by Working with One Side
4. E.2.1.3. Verify a Trigonometric Identity Using Sines and Cosines
5. E.2.1.4. Verify a Trigonometric Identity Algebraically by Working with Both Sides
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• ### E.3. Solving Trigonometric Equations

3. #### E.3.1. Solving Trigonometric Equations

1. E.3.1.O. Overview
2. E.3.1.1. Solve Trigonometric Equations by Collecting Like Terms
3. E.3.1.2. Solve Trigonometric Equations by Taking the Square Root by Taking the Square Root
4. E.3.1.3. Solve Trigonometric Equations by Factoring
5. E.3.1.4. Solve Trigonometric Equations by Factoring a Quadratic Equation
6. E.3.1.5. Solve Trigonometric Equations by Rewriting a Single Function
7. E.3.1.6. Solve Trigonometric Equations by Squaring and Converting to a Quadratic
8. E.3.1.7. Solve Trigonometric Equations involving Multiple Angles
9. E.3.1.8. Solve Trigonometric Equations using Inverse Trigonometric Functions
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• ### E.4. Sum and Difference Formulas

3. #### E.4.1. Finding Exact Values of Trigonometric Functions using Sum and Difference Formulas

1. E.4.1.O. Overview
2. E.4.1.1. Find the exact value of a sine function using the sum and difference formula
3. E.4.1.2. Find the exact value of a cosine function using the sum and difference formula
4. E.4.1.3. Find the exact value of a tangent function using the sum and difference formula
5. E.4.1.5. Find the exact value of the trigonometric function given an angle measure
6. E.4.1.6. Write the expression as the sine, cosine, or tangent of an angle
7. E.4.1.8. Simplify the trig expression algebraically using sum and difference formulas
8. E.4.1.9. Find all solutions of the equation in the interval
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• ### E.5. Multiple-Angle and Product-to-Sum Formulas

3. #### E.5.1. Multiple Angle Formulas

1. E.5.1.O. Overview
2. E.5.1.2. Solve a multiple angle equation
3. E.5.1.3. Use a double angle formula to rewrite an equation
4. E.5.1.4. Evaluate functions involving double angles
4. #### E.5.2. Power-Reducing formulas

1. E.5.2.O. Overview
2. E.5.2.1. Rewrite the trigonometric expression as a sum of first powers of cosine
5. #### E.5.3. Half-Angle Formulas

1. E.5.3.O. Overview
2. E.5.3.2. Find the exact values of trigonometric functions using the half-angle formula
3. E.5.3.4. Solve a trigonometric equation using the half-angle formula
6. #### E.5.4. Product-to-Sum Formulas

1. E.5.4.O. Overview
2. E.5.4.1. Rewrite the product of two trigonometric expressions as a sum or difference
7. #### E.5.5. Sum-to-Product Formulas

1. E.5.5.O. Overview
2. E.5.5.1. Use the sum-to-product formula to write the sum or difference as a product
3. E.5.5.2. Find the exact value of trigonometric functions using a sum-to-product formula
4. E.5.5.3. Solve a trigonometric equation using a sum-to-product formula
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