Problem

The expression $\frac{\sin ^{2} A}{\tan A}$ is equivalent to
1) $\frac{\sin A}{\cos A}$
2) $\sin A \cos A$
3) $\frac{1}{\sin A \cos A}$
4) $\frac{\cos A}{\sin A}$

Answer

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Answer

\boxed{\sin A \cos A}

Steps

Step 1 :Given expression: \(\frac{\sin^2 A}{\tan A}\)

Step 2 :Substitute \(\tan A = \frac{\sin A}{\cos A}\) in the expression: \(\frac{\sin^2 A}{\frac{\sin A}{\cos A}}\)

Step 3 :Simplify the expression: \(\sin A \cos A\)

Step 4 :\boxed{\sin A \cos A}

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