Question

if cos x= a/b , tan =?​

Answer 1

Step-by-step explanation:

cos x = a/b

We know cos x = Base / Hypotenuse

So, Base = a

and Hypotenuse = b

Let perpendicular be y

Hypotenuse = √ y^2 + a^2 = b

y^2 + a^2 = b^2

y^2 = b^2 - a^2

${y }^{2} = {b}^{2} - {a }^{2} \\ y \: = \: \sqrt{ {b \: }^{2} } - {a}^{2}$

tan x = perpendiular / base

tan x = (√b^2 - a^2 ) / a

Hope it helps u..