Precalculus Examples

$\tan (150)$

Step 1

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.

$- \tan (30)$

Step 2

The exact value of $\tan (30)$ is $\frac{\sqrt{3}}{3}$ .

$- \frac{\sqrt{3}}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{3}}{3}$

Decimal Form:

$- 0.57735026 \dots$