# Thread: Need help with trigonometry and exact values

1. ## Need help with trigonometry and exact values

The accute angle x radians is such that sin x = 1/4 , find the exact value of tan x

2. ## Re: Need help with trigonometry and exact values

$\displaystyle \sin^2(x)+\cos^2(x)=1$

We are told:

$\displaystyle \sin(x)=\frac{1}{4}$

Can you use the above to now find $\displaystyle \cos(x)$, given that $\displaystyle x$ is an acute angle?

3. ## Re: Need help with trigonometry and exact values

$$\sin x = \dfrac{\text{opp}}{\text{hyp}} = \dfrac{1}{4}$$

$$\tan x = \dfrac{\text{opp}}{\text{adj}} = \dfrac{1}{\sqrt{4^2-1^2}}$$