Answer:
[tex]\cos x=\dfrac{8}{f}[/tex]
Step-by-step explanation:
Given that,
[tex]\tan x=\dfrac{e}{8}\\\\\sin x=\dfrac{e}{f}[/tex]
We need to find the value of cos x.
We know that,
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Using the above relation,
[tex]\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}[/tex]
So, the value of cos x is equal to [tex]\dfrac{8}{f}[/tex].
