Complete the Identity $$( 4 \sin \theta \cos \theta ) \left( 1 - 2 \sin ^ { 2 } \theta \right) = \text { ? }$$

question 53

Multiple Choice

Complete the identity.
- $$( 4 \sin \theta \cos \theta ) \left( 1 - 2 \sin ^ { 2 } \theta \right) = \text { ? }$$

• A) \(\sin ( 4 \theta )\)
• B) \(\sin ( 2 \theta ) + \cos ( 2 \theta )\)
• C) \(\frac { \cos ( 4 \theta ) } { \sin ( 2 \theta ) }\)
• D) \(\sin ( 2 \theta ) \cos ( 2 \theta )\)

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Definitions:

Social Facilitation Effects

Describes how the presence of others enhances or improves an individual's performance on simple or well-learned tasks but can impair performance on complex or new tasks.

Distraction/Conflict Theory

A theory suggesting that the presence of distractions or conflicting stimuli during a task can lead to decreased performance due to divided attention.

Cognitive Factors

Mental processes that influence understanding, decision making, and behaviour.

Simple Tasks

Activities or duties that are straightforward and uncomplicated, requiring minimal skill or effort to complete.