Find the Value Using the Unit Circle tan(405)

$\tan (405)$

Find the value using the definition of tangent.

$\tan (405) = \frac{opposite}{adjacent}$

Substitute the values into the definition.

$\tan (405) = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

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.

$1$