Find the Exact Value of the Expression $\cos \left[ \tan ^ { - 1 } \left( \frac { \sqrt { 3 } } { 3 } \right) \right]$

question 225

Multiple Choice

Find the exact value of the expression.
- $\cos \left[ \tan ^ { - 1 } \left( \frac { \sqrt { 3 } } { 3 } \right) \right]$

• A) \(\frac { \pi } { 3 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { \sqrt { 3 } } { 3 }\)
• D) \(\frac { \sqrt { 3 } } { 2 }\)

---

Definitions:

Self-Realization

The process or achievement of fully developing one's abilities and understanding one's true self and potentials, often considered the pinnacle of psychological growth.

Profound Enlightenment

A deep state of understanding and awareness, often associated with spiritual insights or awakening.

Depression

A mental health disorder characterized by persistent feelings of sadness, hopelessness, and a lack of interest or pleasure in activities.

Commonsense Notions

Widely held beliefs or ideas that are considered to be self-evident and obvious to ordinary people.