SOLUTION: For all the values of theta for which the expressions are defined, prove the following is an identity: (cos theta sin theta+cos theta)/cos^2theta=tan theta +sec theta I don't quit

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Question 1024158: For all the values of theta for which the expressions are defined, prove the following is an identity: (cos theta sin theta+cos theta)/cos^2theta=tan theta +sec theta
I don't quite understand how to prove it is an identity.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that you can go from the left side and derive the right side or vice versa.

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%28sin%28theta%29%2B1%29%2Fcos%28theta%29=tan%28theta%29%2Bsec%28theta%29
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sin%28theta%29%2Fcos%28theta%29%2B1%2Fcos%28theta%29=tan%28theta%29%2Bsec%28theta%29
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tan%28theta%29%2Bsec%28theta%29=tan%28theta%29%2Bsec%28theta%29
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True for all values of theta, so the original statement is also true for all values of theta.