Express the Product as a Sum Containing Only Sines or Cosines

question 129

Multiple Choice

Express the product as a sum containing only sines or cosines.
- $\sin ( 4 \theta ) \sin ( 6 \theta )$

• A) \(\sin ^ { 2 } \left( 24 \theta ^ { 2 } \right)\)
• B) \(\frac { 1 } { 2 } [ - \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \cos ( 10 \theta ) - \sin ( 2 \theta ) ]\)

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Definitions:

Short-term Memory

The capacity for holding a small amount of information in an active, readily available state for a short period of time.

Sensory Memory

The shortest-term element of memory, it's the ability to retain impressions of sensory information after the original stimuli have ended, acting almost as a buffer for stimuli through the senses.

Schemas

Cognitive structures or frameworks that help individuals organize and interpret information.

Short-term

Describing something of limited duration, often applied to memory systems that hold information temporarily.