SOLUTION: tan^2theta+1/tan theta*csc^2 theta=tan theta verify the identity

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Question 613912: tan^2theta+1/tan theta*csc^2 theta=tan theta
verify the identity
Answer by lwsshak3(11628) About Me  (Show Source):
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tan^2theta+1/tan theta*csc^2 theta=tan theta
verify the identity
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tan^2+1/tan*csc^2=tan
Start with left side
(tan^2+1)/(tan*csc^2)
=(sec^2)/(tan*csc^2)
=(1/cos^2)/(tan/sin^2)
=(sin^2/cos^2)/tan
=tan^2/tan
=tan
verified:
left side=right side