Trigonometry Examples

$\tan (\frac{11 π}{4})$

Find the value using the definition of tangent.

$\tan (\frac{11 π}{4}) = \frac{opposite}{adjacent}$

Substitute the values into the definition.

$\tan (\frac{11 π}{4}) = \frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$

Simplify the result.

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Cancel the common factor of $\frac{\sqrt{2}}{2}$ .

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Cancel the common factor.

$\frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$

Rewrite the expression.

$\frac{1}{- 1}$

Move the negative one from the denominator of $\frac{1}{- 1}$ .

$- 1 \cdot 1$

Multiply $- 1$ by $1$ .

$- 1$