Question

Simplify the expression: sin^4x cosx/ cos^4x sinx

Answer 1

Answer:

$tan^3x$

Step-by-step explanation:

We want to simplify:

$\frac{\sin^4x\cos x}{\cos^4x\sin x}$

This is the same as:

$\frac{\sin^3x \sin x\cos x}{\cos^3x \cos x\sin x}$

Cancel out the common factors to get;

$\frac{\sin^3x}{\cos^3x}$

This is the same as

$(\frac{\sin x}{\cos x} )^3=tan^3x$