Prove: secθ - cosθ = sinθcosθ

My Work:

I know that secθ = 1/cosθ.

So, I replace sine theta with 1/cos theta.

(1/cosθ) - cosθ = sinθcosθ

On the left side, I simply apply the rules for subtraction of fractions.

The left side becomes (1 - cos^2θ)/cosθ.

The equation now looks like this:

(1 - cos^2θ)/cosθ = sinθcosθ

Where do I go from there?