Find the Exact Value of the Expression Using the Provided $\sin ( s - t )$

question 250

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\sin ( s - t )$ given that $\cos s = \frac { 1 } { 3 }$ , with $s$ in quadrant $\mathrm { I }$ , and $\sin t = \frac { 1 } { 4 }$ , with $\mathrm { t }$ in quadrant II.

• A) \(\frac { - 12 \sqrt { 2 } - 1 } { 30 }\)
• B) \(\frac { - 12 \sqrt { 30 } - 1 } { 2 }\)
• C) \(\frac { - 2 \sqrt { 30 } - 1 } { 12 }\)
• D) \(\frac { - 30 \sqrt { 2 } - 1 } { 12 }\)

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Definitions:

Social Learning

A theory that explains how people learn new behaviors, attitudes, and skills by observing the actions of others.

Instrumental Learning

Learning based on the consequences of behavior, often described through the law of effect, where behaviors followed by favorable outcomes are more likely to recur.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior.

Operant Conditioning

An educational method where the intensity of a behavior is adjusted by rewards or consequences.