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?