Questions 59, 63, 67, 71, 75, 79, 83, 87Solve all work handwritten , please show work!

378 Chapter 5 Analytic Trigonometry In Exercises 59-70, factor the expression and use the 85. y1 = cos(" - x), y/2 = sin x fundamental identities to simplify. There is more than one correct form of each answer. 86. y1 = sec x - cos x, y2 = sin x tan x COS X 1 + sin x 59. tan? x - tan x sin2 x 60. sin2 x csc2 x - sin2 x 87. y1 = 1 - sin x COS X 61. sin2 x sec2 x - sin2 x 62. cos2 x + cos2 x tan2 x 63. sec2 x - 1 cos2 x - 4 88. y1 = sec4 x - sec2 x, y2 = tan x + tan' x sec x - 1 cos x - 2 65. tant x + 2 tan2 x + 1 66. 1 - 2 cos2 x + cost x In Exercises 89-92, use a graphing utility to determine who 67. sin4 x - cost x 68. sec4 x - tan4 x of the six trigonometric functions is equal to the express Verify your answer algebraically. 69. csc3 x - csc2 x - csc x + 1 89. cos x cot x + sin x 90. sec x CSC x - tan x 70. sec3 x - sec2 x - sec x + 1 91. - 1 1 COs x sin x cos x In Exercises 71-74, perform the multiplication and use the fundamental identities to simplify. There is more than one cos 0 92. 1 1 + sin 0 correct form of each answer. 2 cos 0 1 + sin' 0 12 71. (sin x + cos x)2 72. (cot x + csc x)(cot x - csc x) In Exercises 93-104, use the trigonometric substitution write the algebraic expression as a trigonometric function 12 73. (2 csc x + 2)(2 csc x - 2) 0, where 0