Find the Exact Value tan(150 degrees )

$\tan (150 °)$

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.

$- \tan (30)$

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.57735026 \dots$

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