Prove the Identity $$\cos \left( x + \frac { \pi } { 6 } \right) = \frac { \sqrt { 3 } } { 2 } \cos x - \frac { 1 } { 2 } \sin x$$

question 160

Essay

Prove the identity.
- $$\cos \left( x + \frac { \pi } { 6 } \right) = \frac { \sqrt { 3 } } { 2 } \cos x - \frac { 1 } { 2 } \sin x$$

---

Definitions:

Infectious Diseases

Disorders caused by organisms such as bacteria, viruses, fungi, or parasites, that can be spread directly or indirectly from one person to another.

Cultural Anthropology

A branch of anthropology focused on the study of cultural variations among humans and the social and cultural dimensions of human life.

Formal Agreement

A legally binding contract or arrangement between two or more parties, often documented and signed to ensure compliance with its terms.

Holistic Perspective

An approach or viewpoint emphasizing the importance of understanding the whole person, or an entire system, rather than dissecting into parts.