Given the following trigonometric expression:
[tex]sin^3x+cos^2x*sinx=?[/tex]
We will simplify the expression as follows:
First, taking sin (x) as a common
[tex]=sin\text{ }x*(sin^2x+cos^2x)[/tex]
Second, we will use the following trigonometric identity:
[tex]sin^2x+cos^2x=1\rightarrow(1)[/tex]
Finally, substitute the trigonometric identity number (1) into the given expression
[tex]=sin\text{ }x*1=sin\text{ }x[/tex]
So, the answer will be sin (x)
