Evaluate $$\tan ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 3 } \right)$$ without using a calculator.
A) $- \frac { 5 \pi } { 6 }$
B) $- \frac { \pi } { 6 }$
C) $- \frac { \pi } { 3 }$
D) $\frac { 3 \pi } { 4 }$
E) $- \frac { 2 \pi } { 3 }$

Question

Quizplus · Accepted Answer

The value $-\frac{\sqrt{3}}{3}$ is the tangent of $-\frac{\pi}{6}$ or -30 degrees, since $\tan(-\frac{\pi}{6}) = -\frac{\sqrt{3}}{3}$.

Evaluate tan⁡−1(−33)\tan ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 3 } \right)tan−1(−33​​)

Evaluate $\tan ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 3 } \right)$