Precalculus Examples

$\tan (240)$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\tan (60) \cdot \frac{π}{180}$ radians

Step 3

The exact value of $\tan (60)$ is $\sqrt{3}$ .

$\sqrt{3} \cdot \frac{π}{180}$ radians

Step 4

Combine $\sqrt{3}$ and $\frac{π}{180}$ .

$\frac{\sqrt{3} π}{180}$ radians