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

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Definitions:

Magma

The molten or semi-molten natural material from which all igneous rocks are derived, located beneath the Earth's surface.

Welded Texture

A texture found in volcanic rocks, formed when hot volcanic ash and debris fuse together under pressure.

Volcanic Breccia Texture

A coarse-grained volcanic rock composed of angular to subangular fragments bonded together by a fine-grained matrix, typically formed from explosive volcanic eruptions.

Igneous Rock

is a type of rock formed through the cooling and solidification of magma or lava.