Use the Appropriate Addition Formula to Find the Exact Value $\sin \left( \frac { 19 \pi } { 12 } \right)$

question 328

Multiple Choice

Use the appropriate addition formula to find the exact value of the expression.
- $\sin \left( \frac { 19 \pi } { 12 } \right)$

• A) \(\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }\)
• B) \(\frac { \sqrt { 2 } - \sqrt { 6 } } { 4 }\)
• C)\( - \frac { \sqrt { 6 } + \sqrt { 2 } } { 4 }\)
• D) \(\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 }\)

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Definitions:

Thoracic Duct

The largest lymphatic vessel in the human body that drains lymph from the lower and left side of the body into the venous system.

Thymus Gland

A lymphoid organ situated in the neck which produces T-cells for the immune system, particularly active during childhood.

Axillary Lymph Nodes

Lymph nodes located in the armpit (axilla) that play a key role in filtering lymph fluid and fighting infection.

Right Lymphatic Duct

A lymphatic vessel that drains lymph from the right upper limb, right side of the thorax, and right sides of the head and neck.