Algebra Examples

$\frac{\sin^{2} (A)}{\tan (A)}$

Step 1

Factor $\sin (A)$ out of $\sin^{2} (A)$ .

$\frac{\sin (A) \sin (A)}{\tan (A)}$

Step 2

Separate fractions.

$\frac{\sin (A)}{1} \cdot \frac{\sin (A)}{\tan (A)}$

Step 3

Rewrite $\tan (A)$ in terms of sines and cosines.

$\frac{\sin (A)}{1} \cdot \frac{\sin (A)}{\frac{\sin (A)}{\cos (A)}}$

Step 4

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (A)}{\cos (A)}$ .

$\frac{\sin (A)}{1} (\sin (A) \frac{\cos (A)}{\sin (A)})$

Step 5

Write $\sin (A)$ as a fraction with denominator $1$ .

$\frac{\sin (A)}{1} (\frac{\sin (A)}{1} \cdot \frac{\cos (A)}{\sin (A)})$

Step 6

Cancel the common factor of $\sin (A)$ .

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Step 6.1

Cancel the common factor.

$\frac{\sin (A)}{1} (\frac{\sin (A)}{1} \cdot \frac{\cos (A)}{\sin (A)})$

Step 6.2

Rewrite the expression.

$\frac{\sin (A)}{1} \cos (A)$

Step 7

Divide $\sin (A)$ by $1$ .

$\sin (A) \cos (A)$