SOLUTION: i must prove that sin^2x(1+cot^2x)=1 thank you for the help.

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Question 289592: i must prove that sin^2x(1+cot^2x)=1 thank you for the help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sin^2x(1+cot^2x)=1 ... Start with the given equation


sin^2x+sin^2x*cot^2x=1 ... Distribute


sin^2x+sin^2x((cos^2x)/(sin^2x))=1 ... Replace cot^2x with (cos^2x)/(sin^2x)


sin^2x+cos^2x=1 ... Multiply and simplify


1 = 1 ... Use the identity sin^2x+cos^2x=1