Question 985362
csc theta = -9/8
note that csc theta = 1 / sin (theta), therefore
1 / sin theta = -9 / 8
sin theta = -8 / 9
inverse sin theta = −62.733955549 approx -62.7
theta is in quadrant III, theta = 270 - 62.7 =  207.3 degrees
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cos 207.3 = −0.888617233
tan 207.3 =  0.516138488