SOLUTION: prove the given identity (1+cot^2theta)sin^2theta=1

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Question 546628: prove the given identity
(1+cot^2theta)sin^2theta=1
Answer by lwsshak3(11628) About Me  (Show Source):
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prove the given identity
(1+cot^2theta)sin^2theta=1
**
Start with left side:
(1+cot^2)(sin^2)
[1+(cos^2/sin^2)]*sin^2
[(sin^+cos^2)/sin^2]*sin^2
sin^2 cancels out
sin^+cos^2=1
verified: left side=right side