SOLUTION: SORRY ABOUT THE OTHER VERSION. I DID NOT FNISH. Correct Question: how do i prove that sin^2 x(1 + cot^2 x)=1

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Question 253814: SORRY ABOUT THE OTHER VERSION. I DID NOT FNISH.
Correct Question:
how do i prove that sin^2 x(1 + cot^2 x)=1
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
(sin^2(x) * (1 + cot^2(x)) = 1

simplify to get:

sin^2(x) + sin^2(x)*cot^2(x) = 1

since cot^2(x) = cos^2(x)/sin^2(x), equation becomes

sin^2(x) + sin^2(x) * cos^2(x) / sin^2(x) = 1

simplify to get:

sin^2(x) + cos^2(x) = 1 which is the pythagorean theorem, confirming that sin^2(x) * (1 + cot^2(x)) = 1 is valid.