Question

Determine the values of each of the other 5 trig functions cosθ= -1/4, tanθ > 0

Answer 1

EXPLANATION

Given the function cos theta = -1/4

$\sin ^2x=1-\cos ^2x=1-\frac{1}{16}=\text{ }\frac{15}{16}=0.9375=>\text{ }\sin x=0.9682$

Let's calculate tan x:

$\tan \text{ x = }\frac{\sin x}{\cos x}=\text{ }\frac{0.9682}{-0.25}=-3.8728$$\cot \text{ x = }\frac{1}{\tan \text{ x}}=\text{ }\frac{1}{-3.8728}=\text{ -0.2582}$$\sec \text{ x = }\frac{1}{\text{cos x }}=\text{ }-4$$co\sec \text{ x =}\frac{1}{0.9682}=\text{ 1.0328}$