Trigonometry Examples

$\tan (120)$

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. Make the expression negative because tangent is negative in the second 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 $\frac{π}{180}$ and $\sqrt{3}$ .

$- \frac{π \sqrt{3}}{180}$ radians