SOLUTION: Prove the Identity: 1/ tan x + tan x = sec x csc x

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Question 1014289: Prove the Identity:
1/ tan x + tan x = sec x csc x
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Prove the Identity:
1/ tan x + tan x = sec x csc x
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1%2Ftan%28x%29 + tan%28x%29 = 1%2F%28%28sin%28x%29%2Fcos%28x%29%29%29 + sin%28x%29%2Fcos%28x%29 = cos%28x%29%2Fsin%28x%29 + sin%28x%29%2Fcos%28x%29 = %28sin%5E2%28x%29+%2B+cos%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29 = 1%2F%28sin%28x%29%2Acos%28x%29%29.

This is exactly sec(x)*csc(x).

Proved.