Is (-sin^2(x))/(sin(x))=-sin(x) ?

The answer to whether (-sin^2(x))/(sin(x))=-sin(x) is True

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prove (-sin^2(x))/(sin(x))=-sin(x)

prove

\frac{- sin ^{2} ( x )}{sin ( x )} = - sin (x)

True

Solution steps

\frac{- sin ^{2} ( x )}{sin ( x )} = - sin (x)

Manipulating left side

\frac{- sin ^{2} ( x )}{sin ( x )}

Simplify

\frac{- sin ^{2} ( x )}{sin ( x )} : - sin (x)

\frac{- sin ^{2} ( x )}{sin ( x )}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{sin ^{2} ( x )}{sin ( x )}

Cancel the common factor:

sin (x)

= - sin (x)

= - sin (x)

We showed that the two sides could take the same form

\Rightarrow True

Is (-sin^2(x))/(sin(x))=-sin(x) ?
The answer to whether (-sin^2(x))/(sin(x))=-sin(x) is True