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) \(- \frac { 5 \sqrt { 3 } } { 6 }\)

---

Definitions:

Biceps Brachii

A large muscle in the upper arm responsible for forearm flexion and supination, commonly known as the biceps.

Scapula

Thin, triangular-shaped, flat bone located on the dorsal surface of the rib cage; also called shoulder blade.

Radius

The lateral bone of the forearm.

Biceps Brachii

A muscle of the upper arm that flexes the elbow and supinates the forearm.