Trigonometry Examples

$\frac{\tan (\frac{3}{4}) - \tan (\frac{π}{4})}{1 + \tan (\frac{3}{4}) \tan (\frac{π}{4})}$

Step 1

Simplify the numerator.

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Step 1.1

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$\frac{\tan (\frac{3}{4}) - 1 \cdot 1}{1 + \tan (\frac{3}{4}) \tan (\frac{π}{4})}$

Step 1.2

Multiply $- 1$ by $1$ .

$\frac{\tan (\frac{3}{4}) - 1}{1 + \tan (\frac{3}{4}) \tan (\frac{π}{4})}$

Step 2

Simplify the denominator.

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Step 2.1

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$\frac{\tan (\frac{3}{4}) - 1}{1 + \tan (\frac{3}{4}) \cdot 1}$

Step 2.2

Multiply $\tan (\frac{3}{4})$ by $1$ .

$\frac{\tan (\frac{3}{4}) - 1}{1 + \tan (\frac{3}{4})}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\tan (\frac{3}{4}) - 1}{1 + \tan (\frac{3}{4})}$

Decimal Form:

$- 0.03541295 \dots$