Finite Math Examples

$\frac{\sin (2 x)}{2 n \cos (x)}$

Step 1

Separate fractions.

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

Step 2

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

$\frac{1}{2 n} (\sin (2 x) \frac{1}{\cos (x)})$

Step 3

Write $\sin (2 x)$ as a fraction with denominator $1$ .

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

Step 4

Simplify.

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Step 4.1

Divide $\sin (2 x)$ by $1$ .

$\frac{1}{2 n} (\sin (2 x) \frac{1}{\cos (x)})$

Step 4.2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\frac{1}{2 n} (\sin (2 x) \sec (x))$

Step 5

Multiply $\frac{1}{2 n} (\sin (2 x) \sec (x))$ .

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Step 5.1

Combine $\sin (2 x)$ and $\frac{1}{2 n}$ .

$\frac{\sin (2 x)}{2 n} \sec (x)$

Step 5.2

Combine $\frac{\sin (2 x)}{2 n}$ and $\sec (x)$ .

$\frac{\sin (2 x) \sec (x)}{2 n}$