Question

How do you find the exact values of the six trigonometric functions of theta if the terminal side of θ in standard position contains the point (-5,-4)?

Answer 1

Find 6 trig functions

Explanation:

The point M(-5, -4) and the corresponding arc x are in Quadrant III.
If a is the angle made by OM and the x-axis,
tan a = -4/-5 = 0.80 --> a = 38.99 deg
Arc x = a + 180 = 218.66 deg
sin x = - 0.62
cos x = - 0.78
tan x = 0.80
cot x = 1.25
sec x = 1/-0.78 = -1.28
csc x = - 1.61