1. Advanced Precalculus Notes 5.3 Properties of the Trigonometric Functions Find the period, domain and range of each function: a) _____________________________________ b) _____________________________________

2. Periodic Properties: Use the fact that the trigonometric functions are periodic to give exact values for each: a) cos 420°b) sin c) tan 21

3. Name the quadrant in which angle lies: a) sin 0b) sec 0c) cos 0

4. Reciprocal Identities:

5. Quotient Identities: Pythagorean Identities:

6. Find the exact value of the remaining trigonometric functions of : a)Cos =, in quadrant III b)b) sin =, tan < 0

7. Odd and Even Properties: sin(-u) = - sin ucos(-u) = cos utan (-u) = - tan u csc(- u) = - csc usec(-u) = sec ucot (-u) = - cot u Use the Odd and Even Properties to simplify each and find the exact value: a) sin(-90°)b) cos ( ) c) tan ( )

8. Use Properties of Trigonometric Functions to find the exact value of each: a) b) tan 200° · cot 20°

9. Assignment: page 400: 1 – 10, 11, 15, 20, 24, 27, 28, 34, 35, 39, 43, 47, 51, 58, 59, 61, 70, 75, 79, 85, 89, 97, 107 - 109