Verify That Each Equation Is an Identity $$\cos ( 4 \theta ) = \cos ^ { 4 } \theta - 6 \sin ^ { 2 } \theta \cos ^ { 2 } \theta + \sin ^ { 4 } \theta$$

question 31

Essay

Verify that each equation is an identity.
- $$\cos ( 4 \theta ) = \cos ^ { 4 } \theta - 6 \sin ^ { 2 } \theta \cos ^ { 2 } \theta + \sin ^ { 4 } \theta$$

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Definitions:

Cardiac Output

The volume of blood the heart pumps through the circulatory system in one minute, an important measure of heart function and overall health.

Regulation

The control or maintenance of a process or function at a certain level or within certain limits.

Pulmonary Vein

A vein that carries oxygenated blood from the lungs to the left atrium of the heart.

Capillary

A capillary is a tiny blood vessel in the body's circulatory system that connects arterioles and venules, facilitating the exchange of water, oxygen, carbon dioxide, and other nutrients and waste substances between blood and tissues.