The accute angle x radians is such that sin x = 1/4 , find the exact value of tan x
Let's start with the Pythagorean identity:
$\displaystyle \sin^2(x)+\cos^2(x)=1$
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?