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## Homework Statement

I'm finally starting to understand proving trig identities, but I have just one more that I can't seem to figure out.

secx - tanxsinx = cosx

## Homework Equations

N/A

## The Attempt at a Solution

Well first, I multiplied the tanx and sinx and came up with sin

^{2}x / cosx

Now I'm stuck. I'm trying to do 1/cosx - sin

^{2}x / cosx

Would the GCF be (cosx)(cosx) or just cosx, I'm drawing a blank here. I'm debating whether or not to change the sin

^{2}x to 1 - cos

^{2}x, but even if I do, I can't figure out how that would simplify to just cosx