SOLUTION: Prove that sin^2 x(1+cot^2 x)=1. Someone please help. Thanks

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Question 561439: Prove that sin^2 x(1+cot^2 x)=1.
Someone please help.
Thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that sin^2 x(1+cot^2 x)=1.
Start with left side
sin^2x(1+(cos^2x/sin^2x)
=sin^2x(sin^2x+cos^2x)/(sin^2x)
cancel out sin^2x
=sin^2x+cos^2x=1
verified:
left side = right side