Math Analysis Chapter 4 Sections 1-4 Review

Math Analysis Chapter 4 Sections 1-4 Review

#1-20 On a separate piece of paper…a) Draw the angle in standard position, b) Draw the triangle and label the sides, c) Find the reference angle, d) Label the quadrant in which the angle lies, and e) Give the exact value of each. DO NOT USE A CALCULATOR.

1. cos120° 2. sin135° 3. tan-π 4. csc150° 5. cos4π3

6. tan300° 7. cot240° 8. sin5π6 9. cos-π4 10. cos8π

11. cot3π2 12. Tan5π4 13. sec11π6 14. cot2π3 15. csc210°

16. tan330° 17. sec135° 18. sinπ2 19. cscπ4 20. sec60°

#21-26 If 0°≤θ≤360°, determine the values of θ that make each equation true.

21. sinθ=-12 22. cosθ=22 23. cotθ=undefined 24. cosθ=-22 25. tanθ=3 26. sinθ=1

Section 7 Inverse Trigonometric Functions

27. Arccos -12 28. Cos-122 29. Arctan -1 30. Arccos 0 31. Tan-13

32. Sin-1-1 33. Arctan 0 34. Cos-1-32 35. Arccos 32 36. Arccoscosπ6

37. Arccoscos7π6 38. Arcsinsinπ4 39. Arcsinsin5π6 40. Arcsincos4π3 41. Arccossin3π4

42. Arccossinπ3 43. sinTan-11 44. secSin-132 45. tanArccos-12 46. cotArcsin22

47. sinCos-156 48. secsin-1513 49. cosArcsin-23 50. tanArccsc-43

Use a calculator to evaluate to four decimal places.

51. Tan-13.06 52. Arccsc 8.23 53. Cot-13.97 54. Arcsec 5.79 55. Arcsin 0.9326

56. Cos-10.3863 57. Arccot 1.6539 58. Arcsec 2.9285

Use the definition of the inverse trigonometric functions to determine the exact value of each of the following:

1. Tan-1-1 2. Arctan 0 3. Csc-12 4. Arcsec 232

Evaluate to four decimal places.

5. Arcsec 10.9 6. Arccsc -2.35 7. Cot-10.56

Evaluate to the nearest tenth of a degree.

8. Arctan-8.456 9. Csc-11.857 10. Arcsec 1.222

Use reference triangles to determine the exact value of each expression.

11. tanSin-125 12. cosSin-127 13. secSin-1-725 14. cscTan-12