Find the Exact Value of the Expression Using the Provided $\cos ( \mathrm { s } + \mathrm { t } )$

question 245

Multiple Choice

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

• A) \(\frac { \sqrt { 15 } - 2 \sqrt { 2 } } { 6 }\)
• B) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 12 }\)
• C) \(\frac { \sqrt { 15 } - 2 \sqrt { 2 } } { 12 }\)
• D) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 6 }\)

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A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception and inappropriate actions.