Suppose that the terminal point determine by t is the point

Suppose that the terminal point determine by t is the point (8/17, 15/17) on the unit circle find the terminal point determined by each of the following.

Solution

t = (8/17 , 15/17 )

a) pi - t

rotate to pi-t , hence reference angle t is in quadrant 2

x,y = ( -8/17 , 15/17 )

b) -t

reference angle t is in quadrrant 4

so, x, y = ( 8/17 , -15/17 )

c) pi + t

rotate to pi+t with reference angle in quadrant 3

x, y = ( -8/17 , -15/17 )

d) 2pi + t

quadrant 1

x , y = ( 8/17 , 15/ 17 )