Use Identities to Find the Indicated Value for Each Angle $\sin \theta = - \frac { 4 } { 5 } , \frac { 3 \pi } { 2 } < \theta < 2 \pi \quad$

question 138

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\sin \theta = - \frac { 4 } { 5 } , \frac { 3 \pi } { 2 } < \theta < 2 \pi \quad$ Find $\cos ( 2 \theta )$

• A) \(- \frac { 7 } { 25 }\)
• B) \(\frac { 24 } { 25 }\)
• C) \(\frac { 7 } { 25 }\)
• D) \(- \frac { 24 } { 25 }\)

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Definitions:

Consciousness

Mental awareness (not to be confused with conscience).

John Locke

A 17th-century English philosopher and political theorist, recognized as a founder of modern philosophical empiricism and liberalism.

Amnesia

A condition characterized by the partial or total loss of memory, often due to brain injury, disease, or psychological trauma.

Mind

The set of cognitive faculties including consciousness, perception, thinking, judgement, and memory; it is the mental counterpart to the physical body.