Answer:
[tex]tan^3x[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\frac{\sin^4x\cos x}{\cos^4x\sin x}[/tex]
This is the same as:
[tex]\frac{\sin^3x \sin x\cos x}{\cos^3x \cos x\sin x}[/tex]
Cancel out the common factors to get;
[tex]\frac{\sin^3x}{\cos^3x}[/tex]
This is the same as
[tex](\frac{\sin x}{\cos x} )^3=tan^3x[/tex]
