Find the Exact Values of the Indicated Trigonometric Functions $\sin \mathrm { B }$

question 170

Multiple Choice

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.
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Find $\sin \mathrm { B }$ and $\tan \mathrm { B }$ .

• A) \(\sin B = \frac { 7 } { 24 } ; \tan B = \frac { 7 } { 25 }\)
• B) \(\sin B = \frac { 7 } { 25 } ; \tan B = \frac { 7 } { 24 }\)
• C) \(\sin B = \frac { 24 } { 25 } ; \tan B = \frac { 24 } { 7 }\)
• D) \(\sin B = \frac { 25 } { 7 } ; \tan B = \frac { 24 } { 7 }\)

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Definitions:

Duplex Mind

The concept that the human mind operates on two levels: automatic, intuitive processing, and deliberate, rational thought.

Automatic System

Part of the cognitive system that is fast, unconscious, and requires minimal effort, as opposed to the effortful, conscious processing system.

Deliberate System

The deliberate system, in psychological theory, refers to one of two systems of thinking: slower, more rational, and conscious thought processes that require effort and deliberation.

Automatic Mind

The aspect of cognitive processing that functions without conscious thought, often responsible for habits, gut reactions, and quick decisions.