Trigonometry Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Convert from $\frac{\sin (x)}{\cos (x)}$ to $\tan (x)$ .

$\tan (x) \frac{1}{1 - \frac{1 - \cos (2 x)}{1 + \cos (2 x)}}$

Step 3

Combine $\tan (x)$ and $\frac{1}{1 - \frac{1 - \cos (2 x)}{1 + \cos (2 x)}}$ .

$\frac{\tan (x)}{1 - \frac{1 - \cos (2 x)}{1 + \cos (2 x)}}$