Precalculus Examples

$\tan (\frac{11}{6} \cdot π)$

Step 1

Combine $\frac{11}{6}$ and $π$ .

$\tan (\frac{11 π}{6})$

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 fourth quadrant.

$- \tan (\frac{π}{6})$

Step 3

The exact value of $\tan (\frac{π}{6})$ is $\frac{\sqrt{3}}{3}$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.57735026 \dots$