csc^2(x) − 7 csc(x) − 8 = 0
The answers i have so far are .1253, 1.5708, and 3.0163 but my online homework says its wrong..can someone please help and explain how they got the answer...(BTW it asks to round the answer to 4 decimal places
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Answers & Comments
Factor: (csc x - 8)(csc x + 1) = 0
So either csc x = 8 (making sin x = 1/8)
or csc x = -1 (making sin x = -1)
So do inverse sin 1/8 which in Q1 is your first answer; in Q2 you do π - that which is your third answer. So far so good. Then inverse sin (-1) which would be negative (it's on the negative y axis on the unit circle) so that's your only error: a sign missing.