# How do you find the values of the other trigonometric functions of θ from the information given cos θ = − 5/8 , tan θ < 0?

Jun 16, 2015

cos x = -5/8. Find other trig functions.

#### Explanation:

${\sin}^{2} x = 1 - {\cos}^{2} x = 1 - \frac{25}{64} = \frac{39}{64} = 0.61 \to \sin x = 0.78$

$\tan x = \sin \frac{x}{\cos} x = \frac{0.78}{-} 0.625 = - 1.25$

$\cot x = \frac{1}{-} 1.25 = - 0.80$

$\sec x = \frac{1}{\cos} x = - \frac{8}{5} = - 1.60$

$\csc x = \frac{1}{\sin} x = \frac{1}{0.78} = 1.28$