Question

How do you simplify `((sin x) ^3 - (cos x) ^3)/(tan x)^3`?

Answer 1

Simplify trig expression

Explanation:

`(sin^3 x - cos^3 x)/(tan^3 x) = (sin^3 x)/tan^3 x - (cos^3 x)/tan^3 x =`

`= cos^3 x - (cos^3 x.cos^3 x)/(sin^3 x) = cos^3 x(1 - cot^3 x)`