Trig / Pre Cal/identities Am I on the right path?
Please do not give the answer. Here is the problem
\( \frac{(\sin x- \cos x)*2}{cos} = \sec x - \cos x\)
I am working on the left side and need to prove it equals the right. This is what I have done so far
\( \frac{(\sin^2 x - 2(\cos x)(\sin x)+\cos^2 x}{\cos x} = \sec x - \cos x\)
Am I going about this the right way because I don't see where to go from here. Thank you.

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