1. Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1

2. Warm Up 14.3  Identify the trig function equivalent to the given function. 2

3. 14.3 Verify Trigonometric Identities  Objective:  Verify trigonometric identities. 3

4. Reciprocal Identities  sin θ = csc θ =  cos θ =sec θ =  tan θ =cot θ = 4

5. Trig Identities  An identity is an equation that is true for all real values in the domain of the variable. 5

6. Quotient Identities  tan θ =  cot θ = 6

7. Pythagorean Identities  sin 2 θ + cos 2 θ =  1 + tan 2 θ =  1 + cot 2 θ = 7

8. Cofunction Identities 8

9. Negative Angle Identities Or, “Even/Odd Identities”  sin (–θ) =  cos (–θ) =  tan (–θ) = 9

10. Example 1  Given that and, find the values of the other 5 trig functions. 10

11. Checkpoints 1 & 2  Find the values of the other five trig functions. 11

12. Example 2  Simplify the expression. 12

13. Checkpoint 3  Simplify the expression. 13

14. Example 3  Verify the identity. 14

15. Checkpoint 4  Verify the identity. 15

16. Homework 14.3  Practice 14.3 16