# 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?

Aug 15, 2015

#### Answer:

Find the trig functions knowing $\cos x = - \frac{8}{19}$

#### Explanation:

Calculator gives -->
$\cos x = - \frac{8}{19} = - 0.42$ --> $x = \pm 114.90$ 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