Let P(t) be the point on the unit circle U that corresponds to t. If P(t) has the given rectangular coor- dinates, find

Question

Let P(t) be the point on the unit circle U that corresponds to t. If P(t) has the given rectangular coor- dinates (-8/17, 15/17), find

a) P(t + pi)

b) P(t - pi)

c) P(-t)

d) P(-t - pi)

Answer 1

tant = y/x = (15/17)/(- 8/17) = (- 15/8); t = π - tan^-1(15/8); P(π - tan^-1(15/8))