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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Definitions:

Social and Emotional Adjustment

The process of adapting or conforming to new social and emotional environments or realities, often crucial for mental health and wellbeing.

Seligman's Terms

Refers to concepts and theories developed by psychologist Martin Seligman, particularly related to positive psychology and well-being.

Optimistic

Having a positive outlook or belief that things will turn out well or that the future holds positive possibilities.

Pessimistic

Having a negative outlook on life, expecting the worst possible outcomes in situations.