NAME__________________________DATE__________PERIOD__



NAME__________________________DATE__________PERIOD_____

Review #5: Trig Functions (non-calculator)

Convert each angle below from degrees to radians.

1. 144( = _______ 2. 440( = _______

Convert each angle below from radians to degrees.

3. [pic] = _______ 4. [pic] = _______

Find two angles, one in a clockwise direction and one in a counterclockwise direction that are coterminal to the given angle.

5. 143( ______ ______ 6. -25( ______ ______

7. [pic] ______ ______ 8. [pic] ______ ______

Find the exact value of each of the following:

__________9. cos 60( __________10. tan [pic]

__________11. csc 2( __________12. cot 45(

__________13. cos [pic] __________14. cos ( -225()

__________15. sec [pic] __________16. csc 300(

Determine the quadrant(s) where the following is true.

__________17. cos[pic] and csc [pic] have opposite signs.

__________18. csc [pic] is negative and tan [pic] is positive.

__________19. cot [pic] and sin [pic] have the same signs.

Draw each angle, θ, in standard position. Find the reference angle, α. Label θ and α.

20. θ = 144( α = _______ 21. θ = 295( α = _______

22. θ = [pic] α = _______ 23. θ = [pic] α = _______

24. If the terminal side of an angle [pic], passes through the point P(-3, 9) determine the numerical value of all six trig functions.

25. If cos[pic] = [pic] and [pic], sketch the angle[pic] and find the value of the other five trig functions.

26. If tan [pic] = [pic] and [pic], sketch the angle[pic] and find the value of the other five trig functions.

Give the exact values of the six trigonometric functions of the given angle.

27. [pic] = [pic] 28. [pic] = -60˚

1. [pic]

2. [pic]

3. 225˚

4. 54˚

5. -217˚, 503˚

6. -385˚, 335˚

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. undefined

12. 1

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. 2, 4

18. 3

19. 1, 4

20. 36˚

21. 65˚

22. [pic]

23. [pic]

24. sin θ = [pic] csc θ = [pic]

cos θ = [pic] sec θ = [pic]

tan θ = -3 cot θ = [pic]

25. sin θ = [pic] csc θ = [pic]

sec θ = 4

tan θ = [pic] cot θ = [pic]

26. sin θ = [pic] csc θ = [pic]

cos θ = [pic] sec θ = [pic]

cot θ = [pic]

27. sin θ = -1 csc θ = -1

cos θ = 0 sec θ = undefined

tan θ = undefined cot θ = 0

28. sin θ = [pic] csc θ = [pic]

cos θ = [pic] sec θ = 2

tan θ = [pic] cot θ = [pic]

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Answers

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