Question

simplify 30sin^3xcosx/6cos^2xsinx

Answer 1

$$
\cfrac{30sin^3(x)cos(x)}{6cos^2(x)sin(x)}\\
\cfrac{(5)(6)sin^2(x)sin(x)cos(x)}{6cos(x)cos(x)sin(x)}\\
\cfrac{(5)(\cancel{6})sin^2(x)\cancel{sin(x)}\cancel{cos(x)}}{\cancel{6}cos(x)\cancel{cos(x)}\cancel{sin(x)}}\\
$$

Answer 2

$$
\cfrac{5sin^2(x)}{cos(x)} \implies 5 \cfrac{sin(x)}{cos(x)} sin(x)
\implies 5tan(x)sin(x)
$$

Answer 3

thank you