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

question 186

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\cos ( s - t )$ given that $\sin s = - \frac { \sqrt { 3 } } { 3 }$ , with $s$ in quadrant IV, and $\sin t = - \frac { \sqrt { 5 } } { 6 }$ , with $t$ in quadrant
IV.

• A) \(\frac { \sqrt { 55 } - \sqrt { 15 } } { 18 }\)
• B) \(\frac { \sqrt { 186 } - \sqrt { 15 } } { 18 }\)
• C) \(\frac { \sqrt { 186 } + \sqrt { 15 } } { 18 }\)
• D) \(\frac { \sqrt { 55 } + \sqrt { 15 } } { 18 }\)

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Definitions:

Discrepancy Reduction

The process of identifying and closing the gap between current situations and desired goals or outcomes.

Self-Regulation

The capability to observe and manage one's own actions, feelings, or ideas, adapting them based on requirements and objectives.

Self-Efficacy Beliefs

An individual's belief in their own capability to succeed in specific situations or accomplish a task.

Social Cognitive Theory

A theoretical framework understanding how individuals acquire and maintain certain behavioral patterns, considering the social environment and personal factors.