Question 1117038
Simplify as much as possible:

sin^3 (x) + sin(x) cos^2(x) all over cos(x) 

*in words-- sin cubed x plus sin x cosine squared x 
           _________________________________________ (all over)
                           cos(x)
<pre>{{{(sin^3 (x) + sin (x) * cos^2 (x))/cos(x)}}}
{{{(sin^3 (x) + sin (x) * ( 1 - sin^2 (x)))/cos(x)}}} ----- Replacing {{{matrix(1,3, cos^2 (x), with, 1 - sin^2 (x))}}}
{{{(sin^3 (x) + sin (x) - sin^3 (x))/cos(x)}}} ----- Distributing in numerator
{{{highlight_green(matrix(1,5, (cross(sin^3 (x)) + sin (x) cross(- sin^3 (x)))/cos(x), "=", sin (x)/cos(x), "=", highlight(tan (x))))}}}