Find the Exact Value of the Expression $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

question 320

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

• A) \(\frac { 2 \sqrt { 3 } + 3 } { 6 }\)
• B) \(\frac { 3 \sqrt { 3 } + 2 \sqrt { 3 } } { 6 }\)
• C) \(\frac { \sqrt { 3 } + 1 } { 2 }\)
• D) \(- \frac { 5 \sqrt { 3 } } { 6 }\)

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Definitions:

Principle Amount

The original sum of money borrowed in a loan or put into an investment.

Time

A continuous, measurable quantity in which events occur in a sequence from the past through the present to the future.

Simple Interest

Interest computed on the original sum of a loan or deposit, not including the effects of compounding throughout the duration.

Simplification

The process of reducing a mathematical expression or equation to its simplest form.