Question

Use basic trigonometric identities to simplify the expression: sin^3 (x) + cos^2 (x) sin (x)

Answer 1

Given the following trigonometric expression:

`sin^3x+cos^2x*sinx=?`

We will simplify the expression as follows:

First, taking sin (x) as a common

`=sin\text{ }x*(sin^2x+cos^2x)`

Second, we will use the following trigonometric identity:

`sin^2x+cos^2x=1\rightarrow(1)`

Finally, substitute the trigonometric identity number (1) into the given expression

`=sin\text{ }x*1=sin\text{ }x`

So, the answer will be sin (x)