Question

Let(-8,3) be a point on the terminal side of theta . Find the exact values of sin theta ,csc theta , and cot theta sin theta = csc theta = cot theta =

Answer 1

When we draw the terminal side in a Cartesian plane, this side is located at quadrant 1. We have to solve angle theta in order to obtain the trigonometric functions. First, we solve the angle in the triangle formed of the terminal side.

tan alpha = 3/8
alpha = 20.56°
theta = 180° - 20.56° = 159.44°

sin theta =0.35
csc theta =2.85
cot theta = -8/3