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

question 43

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 $I$ , and $\sin t = - \frac { 1 } { 2 }$ , with $t$ in quadrant IV.

• A) \(\frac { \sqrt { 3 } - 2 \sqrt { 2 } } { 6 }\)
• B) \(\frac { 2 \sqrt { 6 } + 1 } { 6 }\)
• C) \(\frac { 2 \sqrt { 6 } - 1 } { 6 }\)
• D) \(\frac { \sqrt { 3 } + 2 \sqrt { 2 } } { 6 }\)

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Definitions:

Illusion of Control

The overestimation of one's ability to control events or outcomes that are largely or entirely beyond their actual influence.

Standard Deviation

An indicator of the extent of variability or scatter among a collection of numbers.

Low in Variability

Describes a set of data or a situation where there is little difference or diversity among the elements or outcomes.

Large in Size

Describing an object, entity, or organism that is significantly above average in dimension or magnitude.