SOLUTION: If tan theta=8, find the exact value of cot(pi/2-theta).

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Question 1079427: If tan theta=8, find the exact value of cot(pi/2-theta).
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
For simplicity I will replace theta with t
cot(pi/2-t) = cos(pi/2-t)/sin(pi/2-t)
Using the identities cos(pi/2-t) = sin(t) and sin(pi/2-t) = cos(t) we have
cot(pi/2-t) = sin(t)/cos(t) = tan(t) = 8
Ans: 8