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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