Evaluate $\arctan \frac { \sqrt { 3 } } { 3 }$ without using a calculator.
A) $\frac { \pi } { 6 }$
B) $- \frac { \pi } { 6 }$
C) $\frac { \pi } { 4 }$
D) $\frac { \pi } { 3 }$
E) $- \frac { 3 \pi } { 4 }$

Question

Quizplus · Accepted Answer

The expression $\arctan \frac { \sqrt { 3 } } { 3 }$ can be simplified to $\arctan \frac { 1 } { \sqrt { 3 } }$, which corresponds to the angle whose tangent is $\frac { 1 } { \sqrt { 3 } }$. This is the tangent of $\frac { \pi } { 6 }$ or 30 degrees, making option A correct.

Evaluate arctan⁡33\arctan \frac { \sqrt { 3 } } { 3 }arctan33​​

Evaluate $\arctan \frac { \sqrt { 3 } } { 3 }$