Find $\sin 2 x$ , Given That $\sin x = \frac { 3 } { 5 }$

question 98

Multiple Choice

Find $\sin 2 x$ , given that $\sin x = \frac { 3 } { 5 }$ and ( $x)$ is in quadrant II

• A) \(- \frac { 24 } { 25 }\)
• B) \(\frac { 24 } { 7 }\)
• C) \( \frac{4 \sqrt{6}}{7} \)
• D) \(\frac { \sqrt { 6 } } { 25 }\)
• E) \(- \frac { 4 } { 7 }\)

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Definitions:

Introspection

The examination or observation of one's own mental and emotional processes.

Mental Imagery

The mind's ability to recreate or simulate sensory experiences in the absence of immediate external stimuli, involving visual, auditory, or other sensory modalities.

Implicit Memory

A type of long-term memory that operates below the conscious level, enabling the performance of tasks without conscious awareness of these previous experiences.

Conscious Awareness

Conscious Awareness is the mental state of being fully alert, aware, and attentive to one's thoughts, feelings, and surroundings.