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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 2 + 2 = 2 . The point is also on the terminal

side of an angle in standard position. Find the exact value of the six trigonometric functions.

[8 points each]

4

√33

,− )

7

7

1. = (

2. = (−9, −7)

3. = (−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 20

7. tan

19

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°)

11. sin (− 6 )

9. cot(−45°)

10. sin(−90°)

12. tan(−2 )

13. csc (−

14. [4] If cos = 0.3, find the value of cos + cos( + 2 ) + cos( + 4 ).

15. [4] If cot = 7, find the value of cot + cot( + ) + cot( + 2 ).

1

6

16. If ( ) = sin( ) and ( ) = find the exact value of the following

a. [4] (− )

b. [4] ( ) + ( + 2 ) + ( + 4π)

2

)

3

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