The functions $y=\sin\left(x-60^\circ\right)+4$y=sin(x−60°)+4 and $y=\frac{9}{2}$y=92 are drawn below.
State all solutions to the equation $\sin\left(x-60^\circ\right)+4=\frac{9}{2}$sin(x−60°)+4=92 over the domain $\left[-360^\circ,360^\circ\right)$[−360°,360°). Give your answers in degrees, separated by commas.
Consider the function $y=\sin\left(x-60^\circ\right)$y=sin(x−60°).
Consider the function $y=\cos\left(x-30^\circ\right)$y=cos(x−30°).
Consider the function $y=\sin\left(x+30^\circ\right)$y=sin(x+30°).