737 7.5 Inverse Circular Functions Use a calculator to approximate each value in decimal degrees. See Example 4. 49. u = sin-11-0.133491222 50. u = arcsin 0.77900016 51. u = arccos1-0.398764592 52. u = cos-11-0.133488162 53. u = csc-1 1.9422833 54. u = cot-1 1.7670492 55. u = cot-11-0.607242262 56. u = cot-11-2.77337442 57. u = tan-11-7.78286412 58. u = sec-11-5.11803782 Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.) See Example 4. 59. y = arcsin 0.92837781 60. y = arcsin 0.81926439 61. y = cos-11-0.326478912 62. y = arccos 0.44624593 63. y = arctan 1.1111111 64. y = cot-1 1.0036571 65. y = cot-11-0.921701282 66. y = cot-11-36.8746102 67. y = sec-11-1.28716842 68. y = sec-1 4.7963825 Graph each inverse circular function by hand. 72. y = arccsc 2x 73. y = arcsec 1 2 x 74. y = 2 cot-1 x Evaluate each expression without using a calculator. See Examples 5 and 6. 75. tanaarccos 3 4b 76. sinaarccos 1 4b 77. cos1tan-11-222 78. secasin-1 a1 5bb 79. sina2 tan-1 12 5 b 80. cos a2 sin-1 1 4b 81. cos a2 arctan 4 3b 82. tana2 cos-1 1 4b 83. sina2 cos-1 1 5b 84. cos12 tan-11-222 85. sec1sec-1 22 86. cscAcsc-122B 87. cos atan-1 5 12 - tan-1 3 4b 88. cos asin-1 3 5 + cos-1 5 13b 89. sinasin-1 1 2 + tan-11-32b 90. tanacos-1 23 2 - sin-1 a3 5bb Use a calculator to find each value. Give answers as real numbers. 91. cos1tan-1 0.52 92. sin1cos-1 0.252 93. tan1arcsin 0.122510142 94. cot1arccos 0.582368412 The screen here shows how to define the inverse secant, cosecant, and cotangent functions in order to graph them using a TI-84 Plus graphing calculator. Use this information to graph each inverse circular function, and compare the graphs to those in Figure 21. 69. y = sec-1 x 70. y = csc-1 x 71. y = cot-1 x
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