Answer

When θ = 0, r = sinθ = 0.

When

That gets us two points:

As θ moves from 0 to , the value r = sin θ increases from 0 to 1.

When we know r = 1. When θ = π,r = sin π = 0.

That gives us two points:

As θ moves from to π, the value of r moves from 1 down to 0.

0≤ θ ≤ π

We put together the graphs we found in (a) and (b) to find r = sin(θ)