# Math Help - Proving an identity

1. ## Proving an identity

I am having trouble proving the following:

cscx + secx = cotx + tanx
sinx + cosx

2. $\frac {\csc x+\sec x}{\sin x+\cos x}=\frac {\frac 1{\sin x}+\frac 1{\cos x}}{\sin x+\cos x}=\frac {\frac {\cos x+\sin x}{\sin x\cos x}}{\sin x+\cos x}=\frac 1{\sin x\cos x}=\frac {\cos x}{\sin x}+\frac {\sin x}{\cos x}$
using the identity $\sin^2x+\cos^2x=1$ (in the last step).

3. ## Ok...

How did you get:

cosx+sinx = 1
sinxcosx

4. I figured out how you got all the way to:

1/sinxcosx

but how did you get the last part?

5. ## Thank you...

I figured it out...

Thank you so much!