Complete the Identity $\frac { \sin ( 2 \theta ) + 2 \sin ^ { 2 } \theta } { \cos ( 2 \theta ) } = ?$

question 314

Multiple Choice

Complete the identity.
- $\frac { \sin ( 2 \theta ) + 2 \sin ^ { 2 } \theta } { \cos ( 2 \theta ) } = ?$

• A) \(\frac { \tan ( 2 \theta ) + \tan ^ { 2 } \theta } { \sec ( 2 \theta ) }\)
• B) \(2 \tan \theta + 2\)
• C) \(\frac { 2 \tan \theta } { 1 - \tan \theta }\)
• D) \(\tan ( 2 \theta ) + 2 \tan ^ { 2 } \theta\)

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Definitions:

Short-Term Memory

The component of the memory system that holds a small amount of information for a brief period of time.

Priming

A psychological phenomenon where exposure to one stimulus influences the response to a subsequent stimulus, without conscious guidance or intention.

Explicit Memory

A type of long-term memory involving the conscious recollection of factual information, previous experiences, and concepts.

Recognition

The cognitive process of identifying a familiar object, concept, or piece of information from previous encounters or knowledge.