We know that any point P on the unit circle can be defined as follows:
P = (cos theta, sin theta), where theta is the angle measured counterclockwise between the positive x axis and the radius to point P.

(a)Point Q starts at (-1,0) and rotates clockwise. What parametric equation can you use to describe the coordinates of Q after it has rotated theta degrees? Simplify you answer so it is in terms of cos theta and sine theta. Explain all you work, including the simplification.

(b) Point R starts at (0,-1) and rotates counterclockwise. What parametric equation can you use to describe the coordinates of R after it has rotated theta degrees? Simplify your answer so that it is in terms of cos theta and sin theta. Explain all you work, including the simplification.