1. Math 1112 Activity
Week #13

2. 1. Solve the problem
Two boats leave a dock together. Each travels in a straight line. The angle between their courses measures 54°. One boat travels 36.2 kilometers per hour and the other 45.6 kilometers per hour. How far apart will they be after 3 hours?

3. 2. Write in trig form:
A i (Use degrees)
B. 4i (Use radians)

4. 3. Write in standard a + bi form:
A. 5(cos 150° + isin 150°)
B. 3(cos 2π + isin 2π)

5. 4. Convert to decimal degree notation:
53° 44ˊˊ

6. 5. Find the exact value:
𝑠𝑖𝑛 − 2𝜋 3

7. 6. Multiply & Simplify:
(1 – cos x)(1 + cos x)

8. 7. Find exact value:
sin 185°cos65° - cos185°sin65°

9. Given: 𝑠𝑖𝑛𝜃= 3 5 and the terminal side is in quadrant II
8. Find sec θ
Given: 𝑠𝑖𝑛𝜃= 3 5 and the terminal side is in quadrant II

10. Given: 𝑡𝑎𝑛𝜃= 7 24 with θ in quadrant III
9. Find sin2θ
Given: 𝑡𝑎𝑛𝜃= with θ in quadrant III