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Section 2.3b Paper Homework
NAME:______________________
For all problems, show all your work. Reduce answers to lowest terms. Then number in the
brackets indicates the point value.
For questions 1-3, a point P is given on the circle 𝑥 2 + 𝑦 2 = 𝑟 2 . The point is also on the terminal
side of an angle 𝜃 in standard position. Find the exact value of the six trigonometric functions.
[8 points each]
4
√33
,− )
7
7
1. 𝑃 = (
2. 𝑃 = (−9, −7)
3. 𝑃 = (−2,10)
Section 2.3b Paper Homework
NAME:______________________
For questions 4-7, use the fact that the trigonometric functions are periodic to find the exact
value of the given expression. Do not use a calculator. [6 points each]
4. cot 390°
5. csc 390°
6. sec 20𝜋
7. tan
19𝜋
6
For questions 8-13, use the even-odd properties to find the exact value of the given expression.
Do not use a calculator. [6 points each]
8. cos(−60°)
𝜋
11. sin (− 6 )
9. cot(−45°)
10. sin(−90°)
12. tan(−2𝜋)
13. csc (−
14. [4] If cos 𝜃 = 0.3, find the value of cos 𝜃 + cos(𝜃 + 2𝜋) + cos(𝜃 + 4𝜋).
15. [4] If cot 𝜃 = 7, find the value of cot 𝜃 + cot(𝜃 + 𝜋) + cot(𝜃 + 2𝜋).
1
6
16. If 𝑓(𝑥) = sin(𝑥) and 𝑓(𝑎) = find the exact value of the following
a. [4] 𝑓(−𝑎)
b. [4] 𝑓(𝑎) + 𝑓(𝑎 + 2𝜋) + 𝑓(𝑎 + 4π)
2𝜋
)
3

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