SOLUTION: Use the Pythagorean identity sin^2t+cos^2t=1 to show that cot^2t=csc^2t-1

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Question 770925: Use the Pythagorean identity sin^2t+cos^2t=1 to show that cot^2t=csc^2t-1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean identity sin^2t+cos^2t=1 to show that cot^2t=csc^2t-1
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cot^2t=csc^2t-1
Start with right hand side:
csc%5E2%28t%29-1
1%2Fsin%5E2%28t%29-1
%28sin%5E2%28t%29%2Bcos%5E2%28t%29%29%2Fsin%5E2%28t%29-1
1%2Bcot%5E2%28t%29-1
=cot^2(t)
Verified:
Right-hand side=left-hand side