Verifying Trigonometric Identities Problem

[MasterChief]

I was given the following math problem on an assignment:
(1+sinx)/cos^2x = sec^2x + sinx tanx
I have tried to solve this for hours but cannot seem to figure it out. Any help would be much appreciated.

 

[Deleted member 4993]

I was given the following math problem on an assignment:
(1+sinx)/cos^2x = sec^2x + sinx tanx
I have tried to solve this for hours but cannot seem to figure it out. Any help would be much appreciated.

cos^2(x) * [sec^2(x) + sin(x) * tan(x)] = ??

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem

 

[Harry_the_cat]

You need to PROVE this identity, not SOLVE the equation.

 

[pka]

(1+sinx)/cos^2x = sec^2x + sinx tanx

That is not an identity. Should it be
\(\dfrac{1+\sin(x)}{\cos^2(x)}=\sec^2(x)+{\bf\large\sec(x)}\tan(x)~?\)

 

[MasterChief]

That is what I thought but on the assignment it say sinxtanx. Thank you for confirming that I am not insane.