Geometry
# Trigonometric Equations

How many solutions are there to $\sin \theta + 7 = 8$ in the domain $[0 ^ \circ, 1000 ^ \circ ]$?

How many $x$'s in the interval $0 \leq x \leq 15\pi$ satisfy $\tan x=-\sqrt{3}$?

Which of the following is a solution to

$\sin ( 2 \theta - 31 ^ \circ ) = \cos 49 ^ \circ ?$