Find the Value Using the Unit Circle tan(135)

$\tan (135)$

Step 1

Find the value using the definition of tangent.

$\tan (135) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

$\tan (135) = \frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$

Step 3

Simplify the result.

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

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 $1$ .

$- 1$

Step 4