Suppose that the terminal point determined by t is the point (4/7,√33/7) on the unit circle. Find the terminal point determined by each of the following.

Question

(b)    4π + t

(c)    π − t

(d)    t − π

Answer 1

4π is two times the circumference of the unit circle, so 4π + t is the same point as t.

π is half way around the circle, so the point (-1,0). Then π - t is half around the circle, then back t. The point is in the 2nd quadrant, so (-4/7, √33/7).

t - π would be in the 3rd quadrant, so (-4/7, -√33/7).