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

question 4

Multiple Choice

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) \(- \frac { 2 \pi } { 3 }\)

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