Prove $\frac { \sin 4 x + \sin 2 x } { \cos 4 x + \cos 2 x } = \tan 3 x$

question 49

Essay

Prove $\frac { \sin 4 x + \sin 2 x } { \cos 4 x + \cos 2 x } = \tan 3 x$ .

---

Definitions:

Unconditioned Response

An automatic, natural reaction to a stimulus that occurs without any prior learning or conditioning.

Extinction

In psychology, the gradual weakening and disappearance of a conditioned response behavior.

Paired

Describes objects or concepts that are linked or associated with each other in some relationship or function.

Conditioned Stimulus

A formerly neutral signal that, when linked with the unconditioned stimulus, ultimately elicits a conditioned reaction.