13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57 -> please show all work

402 Chapter 5 Analytic Trigonometry See www.CaleChat.com for worked out solutions to odd mambe, 5.4 EXERCISES In Exercises 61-70, prove 2. cos(u + v) = VOCABULARY: Fill in the blank. 4. sin(u + v) = 61. sin( * - x) = cos.x 1. sin(u - v) 6. tan(# - v) = 3. tan(u + v) = 63. sin( # + x) = (co 5. costu - v)= (ST - x) = - SKILLS AND APPLICATIONS tan 2x + tan x 64. cos 35. In Exercises 7-12, find the exact value of each expression 1 - tan 2r tan x 65, cos( 1 - 8) + sin 36. cos 3.r cos 2y + sin 3x sin 2y 7. (2) cos (# + 7) (b) cos + cos In Exercises 37-42, find the exact value of the expres 66. tan( * - 9) = 1+ 8. (a) sin # 4 5#) + sin 67. cos(x + y) cos(x - 6 (b) sin os # + cos h sin 37. sin To cos 68. sin(x + y) sin(x - y 9. (a) sin / _ ) (b] sin Ju - sing 69. sin(x + y) + sin(x 6 6 (b) cos 120' + cos 45 COST 38. COS 6 - sin 16S 70. cos(x + y) + costa 10. (2) cos(1203 + 45" 16 11. (a) sin(1353 - 30") (b) sin 135 - cos 30 39. sin 120" cos 609 - cos 120 sin 60- In Exercises 71-74, simp 12. (a) sin(3153 - 605 (b) sin 315 - sin 60 40. cos 120" cos 30" + sin 120" sin 303 use a graphing utility to In Exercises 13-28, find the exact values of the sine, cosine, tan(51/6) - tan(17/6) 71. cos 7 and tangent of the angle . 1 + tan(57/6) tan(w/6) 13 1 14 34 42. tan 25* + tan 1 10" 14. - 73. sin (" + 0) 12 4 12 1 - tan 25" tan 1 10" 15 74 9# 5x 12 4 6 16. -" 12 6 In Exercises 43-50, find the exact value of the trigomore In Exercises 75-84, find function given that sin u = ; and cos v = -. Bothma interval [0, 2 +). 17. 105* = 60" + 45 18. 165" = 135 + 30" 19. 1959 = 2259 - 305 are in Quadrant II.) 20. 255" = 300" - 45 75. sin(x + 7) - sin x 43. sin(u + v) 44. cos(n - v) 76. sin(x + 7) - sin x 21. 22 71 17 45. costa + v) 46. sin(v - u) 77. cos(x + 7) - cos 23. 47. tan(u + v) 12 24. 48. csc(u - v) 78. cos(x + w) - cos x 12 49. sec(v - w) 25, 2859 50. cot(i + v) 26. - 105 79. sin( x + ) - sin( 27. - 165 28, 15 In Exercises 51-56, find the exact value of the trigon function given that sin u = - and cos v = -; 30. sin(x + #) + sin( In Exercises 29-36, write the expression as the sine, cosine, or tangent of an angle. and v are in Quadrant III.) 51. costu + v) 81. cos( x + #) - cos 29. sin 3 cos 1.2 - cos 3 sin 1.2 52. sin(u + ) 53. tan(u - v) 30. cas - cos " - sin " sir 54. cotly - al 82. tan(x + w) + 2 sin 55. esc(u - v) 56. sec(v - 1) 31. sin 60' cos 15* + cos 60* sin 15" 83. sin( x + " ) - cos 32. cos 130" cos 40" - sin 130# sin 40" In Exercises 57-60, write the trigonometric expression 33. - tan 45" - tan 30" algebraic expression. 84. cos( x - ") + sin 1 + tan 45 tan 30 57. sin(aresin x + arccos x) 14. tan 140' - tan 60" In Exercises 85-88, use 1 + tan 140" tan 60 58. sin(arctan 2x - arccos x) solutions in the interval 59. cos(arccos x + arcsin x) 60. cos(arccos x - arctan .x) 85. cos( x + ) + cos