Question

How do you find the values of the trigonometric functions of θ from the information given `cos(theta) = -8/19`, and theta is in quadrant III?

Answer 1

Find the trig functions knowing `cos x = -8/19`

Explanation:

Calculator gives -->
`cos x = -8/19 = - 0.42` --> `x = +- 114.90` deg
Since x is located in Quadrant III, then, x = -114.90, or x = 360 - 114.90 = 245.1.
sin (245.1) = - 0.91
cos 145.91 = - 0.42
tan 245.1 = 2.16
cot 245.1 = 0.46
sec 245.1 = - 2.38
csc 245.1 = - 1.10