Trigonometry Examples

$\frac{\tan (\frac{1}{2} x) + \tan (\frac{1}{8} x)}{1 - \tan (\frac{1}{2} x) \tan (\frac{1}{8} x)}$

Step 1

Simplify the numerator.

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Step 1.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{\tan (\frac{x}{2}) + \tan (\frac{1}{8} x)}{1 - \tan (\frac{1}{2} x) \tan (\frac{1}{8} x)}$

Step 1.2

Combine $\frac{1}{8}$ and $x$ .

$\frac{\tan (\frac{x}{2}) + \tan (\frac{x}{8})}{1 - \tan (\frac{1}{2} x) \tan (\frac{1}{8} x)}$

Step 2

Simplify the denominator.

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Step 2.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{\tan (\frac{x}{2}) + \tan (\frac{x}{8})}{1 - \tan (\frac{x}{2}) \tan (\frac{1}{8} x)}$

Step 2.2

Combine $\frac{1}{8}$ and $x$ .

$\frac{\tan (\frac{x}{2}) + \tan (\frac{x}{8})}{1 - \tan (\frac{x}{2}) \tan (\frac{x}{8})}$