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Mathematics 142 fourteenth homework
due Thursday, May 7, 2015
please show your work to get full credit for each problem
1–6. (a) For each angle, draw a diagram of the angle in standard
position. (use the x, y, r definition of the trigonometric functions) (b) Then use
the diagram to simplify the trigonometric function. Assume that n
and −p represent negative real numbers.
1a. A = cos−1 n/4
3a. C = tan−1 2n/3
5a. θ = sec−1 4n/3
1b. sin A
3b. sec C
5b. tan θ
2a. B = sin−1 (−p/5)
4a. D = cot−1 (−4p/7)
6a. φ = csc−1 (−5p/2)
2b. tan B
4b. csc D
6b. cot φ
supplemental book homework to get more proficient at the material
(not to hand in):
6.1 # 7, 15, 19, 23, 31, 33, 37, 43, 45, 49, 53, 55, 61, 63, 65
6.2 # 9, 11, 15, 21, 23, 29, 35, 39, 43, 57, 59, 61