Complete the Identity $\sin \theta [ \sin ( 2 \theta ) + \sin ( 4 \theta ) ] = ?$

question 299

Multiple Choice

Complete the identity.
- $\sin \theta [ \sin ( 2 \theta ) + \sin ( 4 \theta ) ] = ?$

• A) \(\cos \theta [ \cos ( 2 \theta ) + \cos ( 4 \theta ) ]\)
• B) \(\frac { 1 } { 2 } \cos \theta [ \cos ( 2 \theta ) + \cos ( 4 \theta ) ]\)
• C) \(\cos \theta [ \cos ( 2 \theta ) - \cos ( 4 \theta ) ]\)
• D) \(\frac { 1 } { 2 } \cos \theta [ \cos ( 2 \theta ) - \cos ( 4 \theta ) ]\)

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Definitions:

Schachter And Singer Theory

A psychological theory proposing that emotion is based on two factors: physiological arousal and the cognitive interpretation of that arousal.

Physiological Arousal

A state of heightened physiologic activity, including increased heart rate, sweating, or rapid breathing, often in response to excitement or stress.

Schachter And Singer Theory

A psychological theory that suggests emotions are experienced by interpreting physiological arousal within the context of the environmental cues.

Autonomic Arousal

The automatic activation of the nervous system that regulates bodily functions and responses to stimuli, affecting physical states associated with emotions and stress.