Geometry
# Trigonometric Equations

If $2 \cos^2{x} + 47 \cos{x} = 20 \sin^2{x} ,$ then what is the value of $\cos{x} ?$

In the domain $[0, 17 ]$, how many real solutions are there to $\cos (\pi x^2 ) = -1$?

$\sin\theta + 8\cos\theta$?

What are all possible values of