Find the Exact Value of the Expression $$\tan \frac { \pi } { 6 } - \sin \frac { \pi } { 3 }$$

question 283

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $$\tan \frac { \pi } { 6 } - \sin \frac { \pi } { 3 }$$

• A) \(- \frac { \sqrt { 6 } } { 2 }\)
• B) \(- \frac { \sqrt { 3 } } { 6 }\)
• C) \(\sqrt { 3 }\)
• D) \(\frac { 2 \sqrt { 3 } - 3 \sqrt { 2 } } { 6 }\)

---

Definitions:

Red Beryl

A rare mineral that is red in color and is composed of beryllium, aluminum, and silicate.

Monopoly Power

The ability of a single seller in a market to control the prices of goods or services, usually due to lack of competition.

Local Water Company

A utility firm responsible for the supply and management of water within a specific local area.

Natural Monopoly

A market structure where a single firm can provide a product or service at a lower cost than any potential competitor, often due to economies of scale.