Trigonometry Examples

$\tan (x - \frac{π}{4})$

Step 1

Apply the difference of angles identity.

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

Step 2

Simplify the numerator.

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Step 2.1

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

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

Step 2.2

Multiply $- 1$ by $1$ .

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

Step 3

Simplify the denominator.

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Step 3.1

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

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

Step 3.2

Multiply $\tan (x)$ by $1$ .

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