Simplify the Expression Algebraically $5 \sin \left( \frac { \pi } { 6 } + x \right)$

question 218

Multiple Choice

Simplify the expression algebraically. $5 \sin \left( \frac { \pi } { 6 } + x \right)$

• A) \(\frac { 5 } { 2 }\) \(( \cos x - \sqrt { 3 } \sin x )\)
• B) \(\frac { 5 } { 2 }\) \(( \cos x + \sqrt { 3 } \sin x )\)
• C) \(\frac { 5 } { 2 }\) \(( \sin x - \sqrt { 3 } \cos x )\)
• D) \(\frac { 5 } { 2 }\) \(( \cos x + \sin x )\)
• E) \(\frac { 5 } { 2 }\) \(( \sin x + \sqrt { 3 } \cos x )\)

---

Definitions:

Diaphragm

A large, dome-shaped muscle located at the base of the lungs that plays a key role in breathing.

Alveoli

Tiny air sacs within the lungs where the exchange of oxygen and carbon dioxide takes place.

Nasal Cavity

The large air-filled space above and behind the nose in the middle of the face that warms, moistens, and filters air entering the body through the nose.

Bronchiole

Small airways in the lungs that extend from the bronchi and lead to the alveolar ducts.