Prove the Identity $$\cos 4 x = 1 - 2 \sin ^ { 2 } 2 x$$

question 252

Essay

Prove the identity.
- $$\cos 4 x = 1 - 2 \sin ^ { 2 } 2 x$$

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Definitions:

Fallacies

Errors in reasoning that render arguments logically invalid, often due to misleading premises or irrelevant points.

Composition

The way in which something is made up or put together from various parts or elements.

Hasty Generalization

An error in reasoning where the conclusion isn't supported by enough objective evidence.

Connecting Term

A term used in logic and philosophy that links different parts of a proposition or argument, enhancing coherence and understanding.