Chapter 4 & 5 - Trigonometric Functions

Chapter 4

4.1 p.175 # (1-9,11-13 aceg),14-16 (21-23 *more challenging)

4.2 p.186 # (1-6 bcej),9,13,15,17,18

4.3 p.201 # (1-12 bdfh),13,14,18

4.4 p.211 # (1,3-5,7 bdf),2,9,11-13b,15,16,18-22

OPTIONAL REVIEW:

• p.215 # 1-23 and p.218 # 1-6

• p.326 #1-13 and p.328 # 1,2,9-12,14

• Extra Practice and Review Quiz (Answers below)

Test Outline

1. Question using arc length/sector area (Formulas given)

2. Given a coordinate on a unit circle, state the angle in standard position whose terminal arm passes through the point. (Similar to p.187 # 4)

3. Given an angle in standard position, state the exact coordinates that the terminal arm passes through on a unit circle. (Similar to p.187 # 5)

4. Given a coordinate that lies on the terminal arm of an angle in standard position, determine coterminal angles. (Similar to p.202 # 5 or 4.3 Notes (3^rd last example))

5. Solve a trigonometric equation. (Similar to p.211 # 3 or 5)

6. Given a coordinate or a trigonometric ratio, determine exact ratios for the other trigonometric ratios. (Similar to p.202 # 12 or see 4.3 Notes (Last example))

7. Solve a trigonometric equation that involves factoring. (Similar to p.212 # 7)

8. A word problem (Similar to p.213 # 15 or 19)

Chapter 5

5.1 p.233 # (4,5,7-9,11,12,17,18,21 bc),6,10,14

5.2 p.250 # (1,2,6-9,11-16 bcf),3-5,10,20,22,24,27ab,28

5.3 p.262 # 1-3,9-13

5.4 p.275 # 1-5,8-10,18-20

**5.2 Notes attached at the very bottom**

Test Outline

1. Graph a sin/cos graph and state amplitude, period, phase shift, vertical displacement, domain, range, y-intercept, and equation of x-intercepts. (Similar to p.252 # 14)

2. Graph a tan graph and state period, phase shift, domain, range, y-intercept, equation of x-intercepts, and equation of asymptotes. (See 5.3 Notes)

3. Write the equation of a sin/cos equation given a graph or information about max/min values. (Similar to p. 253 # 15 or p.255 #27)

4. A question about transforming sin/cos functions.

5. A word problem in which the equation is given. (Similar to p.276 # 9, the tide/temperature example from our notes)

6. A word problem in which the equation is not given. (Similar to tide/temperature example from our notes, p.279 # 19)

OPTIONAL REVIEW:

• p.282 # 1-24 and p.286 # 1-17

• p.326 #14-19 and p.328 # 3-6,17,18

• Extra Practice and Practice Review Quiz (Answers below)