I'm trying to solve a trigonometric equation, but I'm a bit stuck. The equation is this:
- $\sin^2 x = \cos x$
So far what I've done looks like this:
$\sin^2 x - \cos x = 0$
$ (1 - \cos^2 x) - \cos x = 0$
$-\cos^2 x - \cos x + 1 = 0$
But from there I don't know how to factor it to get onwards to evaluating $x$ for separate cosine terms. Have I gone wrong somewhere, or am I simply not seeing the proper way to factor this?