Is (sin^2(x))/1*1/(sin^2(x))=1 ?

The answer to whether (sin^2(x))/1*1/(sin^2(x))=1 is True

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prove (sin^2(x))/1*1/(sin^2(x))=1

prove

\frac{sin ^{2} ( x )}{1} \cdot \frac{1}{sin ^{2} ( x )} = 1

True

Solution steps

\frac{sin ^{2} ( x )}{1} \cdot \frac{1}{sin ^{2} ( x )} = 1

Manipulating left side

\frac{sin ^{2} ( x )}{1} \frac{1}{sin ^{2} ( x )}

Simplify

\frac{1}{sin ^{2} ( x )} \frac{sin ^{2} ( x )}{1} : 1

\frac{1}{sin ^{2} ( x )} \cdot \frac{sin ^{2} ( x )}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{sin ^{2} ( x )}{sin ^{2} ( x ) \cdot 1}

Cancel the common factor:

sin^{2} (x)

= \frac{1}{1}

Apply rule

\frac{a}{1} = a

= 1

= 1

We showed that the two sides could take the same form

\Rightarrow True

Is (sin^2(x))/1*1/(sin^2(x))=1 ?
The answer to whether (sin^2(x))/1*1/(sin^2(x))=1 is True