Write tan(θ) in terms of x given that arcsin(5/x).

Answer 1

Give: arcsin(5/x)

Then sinθ = 5/x (opposite/hypnose),

use Pythagorean theorem to find adjacent a:

x²=5² +a²,

a= sqrt (x²-25)

tan(θ)= Opposite/adjacent

Therefore: tan(θ)=5/sqrt(x²-25)