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:

Lac Operon

A set of genes and their control sequences that are responsible for the metabolism of lactose in bacteria.

RNA Polymerase

An enzyme that catalyzes the transcription of DNA into RNA, initiating the transfer of genetic information.

Glucose Concentrations

The amount of glucose present in the blood, important in the diagnosis and management of diabetes and other metabolic disorders.

Lactose

A disaccharide sugar composed of galactose and glucose, commonly found in milk and dairy products, which requires the enzyme lactase for digestion.