SOLUTION: Let theta be an angle in quadrant IV such that cos theta = 12/13. Find the exact values of csc theta and cot theta.

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Question 1002859: Let theta be an angle in quadrant IV such that cos theta = 12/13.
Find the exact values of csc theta and cot theta.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
cos+%28theta%29 = 12/13


cos%5E2%28theta%29 = 144/169}}}

sin%5E2%28theta%29=+1+-+cos%5E%28theta%29

sin%5E2%28theta%29+=1-%28144%2F169%29

sin%5E2%28theta%29=25%2F169


cot%28theta%29+=+cos%28theta%29%2Fsin%28theta%29
plug values
cot%28theta%29+=+-12%2F5
sin%28theta%29=+5%2F13

cosec%28theta%29+=+13%2F5
But in IV quad it isnegative
cosec%28theta%29+=+-13%2F5