Precalculus Examples

$\tan (315 °)$

Step 1

Find the value using the definition of tangent.

$\tan (315 °) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

$\tan (315 °) = \frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $- 1$ by $1$ .

$- 1$

Step 4