From the graph of the function, we can see that we should be expecting 2 solutions: 1 solution between 0 ∘ and 90 ∘ and the other between 90 ∘ and 180 ∘. sin x ∘ = 3 4 ...

y = sin (x a) ∘ where a is called the phase angle. This is when the graph of the function has been shifted to the left or right by a degrees.

In this animation, we see what the “polygonal sine” looks like for [the square, the hexagon, the triangle and the heart. The polygon is such that the inscribed circle has radius 1.