Question

Look at the figure and answer

Answer 1

Answer:

$\cos x=\dfrac{8}{f}$

Step-by-step explanation:

Given that,

$\tan x=\dfrac{e}{8}\\\\\sin x=\dfrac{e}{f}$

We need to find the value of cos x.

We know that,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

Using the above relation,

$\dfrac{e}{8}=\dfrac{\dfrac{e}{f}}{\cos x}\\\\\cos x=\dfrac{\dfrac{e}{f}}{\dfrac{e}{8}}\\\\=\dfrac{e}{f}\times \dfrac{8}{e}\\\\=\dfrac{8}{f}$

So, the value of cos x is equal to $\dfrac{8}{f}$.