Question

Solve:$si{n}^{3}xco{s}^{3}x$

Answer 1

Consider given the expression,

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

$\Rightarrow \frac{2^3{\sin }^{3}x{\cos }^{3}x}{8}$

$\Rightarrow \frac{{\left(2\sin x\cos x\right)}^3}{8}$

$\Rightarrow \frac{{\left(\sin 2x\right)}^3}{8}$

$\Rightarrow \frac{{\sin }^{3}2x}{8}$

Hence, this is the answer.