Name ___________________________ Date



Name ______________________ Date ________ Period _______

REVIEW - TRIG EQUATIONS

From Unit 6.6

NON-CALCULATOR:

Find the exact values for the following functions. Do not use a calculator.

_______1. cos 45( _______2. csc 135(

_______3. sin [pic] _______4. tan [pic]

_______5. sec [pic] _______6. sin [pic]

_______7. tan 60( _______8. sec [pic]

_______9. cot 30( _______10. csc [pic]

Find all angles, (, that satisfy the equations for 0º ( ( ( 360º and 0 ( θ ( 2(. Give answers in degrees and radians.

11. 2sin θ + 1 = 0 12. 3 sec2θ – 4 = 0

13. csc θ +[pic] = 3csc θ 14. [pic]

15. sec [pic] and csc [pic] 16. sin[pic]= -1 and tan[pic] is undefined

17. cos[pic]= [pic] and tan[pic][pic] 18. cos[pic]=[pic] and sin[pic][pic]

CALCULATOR:

Convert to radians. Leave in decimal form.

19. -235º = __________ 20. 476º = __________

Convert to degrees.

21. [pic] = __________ 22. 2.9 = __________

Use a calculator to evaluate. Round answers to three decimal places.

23. sin 23(_______ 24. cos 134(_______

25. cot (90°)_______ 26. csc 129(_______

27. sec (-47()_______ 28. cot 302(_______

29. cos [pic]_______ 30. sec [pic]_______

31. cot [pic]_______ 32. sin[pic]_______

Use your calculator to find all angles, θ, that satisfy the equations for

0 ( ( ( 360˚. Give answers to the nearest degree.

33. sin[pic] = -0.19 34. cot[pic] = 1.19

35. [pic] and sin θ > 0 36. 9 + 3cos[pic] = 7 and tan θ > 0

P is a point on the terminal side of θ. Find θ for 0 ( ( ( 360˚.

37. P(2, 5) 38. P(8, -13)

Use your calculator to find all angles, θ, that satisfy the equations for

0 ( θ ( 2(. Give answers to three decimal places.

39. sin θ = -0.45 and θ is in quadrant 3 40. csc θ = -11.47 and cos θ > 0

Study the review problems from the assignments.

Answers:

1. [pic]

2. [pic]

3. [pic]

4. und.

5. [pic]

6. [pic]

7. [pic]

8. 2

9. [pic]

10. und.

11. 210˚, 330˚ or [pic]

12. 30˚, 150˚, 210˚, 330˚

Or [pic]

13. 45˚, 135˚ or [pic]

14. 120˚, 300˚ or [pic]

15. 135˚ or [pic]

16. 270˚ or [pic]

17. 300˚ or [pic]

18. 150˚ or [pic]

19. -4.102

20. 8.308

21. 383˚

22. 166˚

23. .391

24. -.695

25. 0

26. 1.287

27. 1.466

28. -.625

29. .809

30. -1.082

31. .228

32. -.643

33. 191˚, 349˚

34. 40˚, 220˚

35. 111˚

36. 228˚

37. 68˚

38. 302˚

39. 3.609

40. 6.196

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