Precalculus Examples

$\frac{\sin (4 x)}{\sin (2 x)}$

Step 1

Rewrite $\frac{\sin (4 x)}{\sin (2 x)}$ as a product.

$\sin (4 x) \frac{1}{\sin (2 x)}$

Step 2

Write $\sin (4 x)$ as a fraction with denominator $1$ .

$\frac{\sin (4 x)}{1} \cdot \frac{1}{\sin (2 x)}$

Step 3

Simplify.

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Step 3.1

Divide $\sin (4 x)$ by $1$ .

$\sin (4 x) \frac{1}{\sin (2 x)}$

Step 3.2

Convert from $\frac{1}{\sin (2 x)}$ to $\csc (2 x)$ .

$\sin (4 x) \csc (2 x)$