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

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Answer 1 · 2015-11-27T00:51:44

Simplify trig expression

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

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

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