Sketch the given oriented angle identify the quadrant and re

Sketch the given oriented angle, identify the quadrant and reference angle and then compute the values of sin, cos, and tan.

1. (6 pts) Sketch the given oriented angle 0 on the axes provided. Identify the quadrant and reference angle (unless is quadrantal). Then compute the values of sin 0, cos 0 and tan 0 (a) 0 (radians) (b) 0 225 (c) 0 (radians)

Solution

1. 4pi/3 = (pi+pi/3)

third quadrant

sin ( pi+pi/3) = - sin pi/3 = - root (3) /2

cos ( pi+pi/3) = - cos pi/3 = - 1/2

tan (pi+pi/3) = tan pi/3 = root (3)