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

question 45

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\cos ( s + t )$ given that $\cos s = \frac { 1 } { 3 }$ , with $s$ in quadrant $I$ , and $\sin t = - \frac { 1 } { 2 }$ , with $t$ in quadrant IV.

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

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Definitions:

Visual Cortex

The part of the cerebral cortex responsible for processing visual information, located in the occipital lobe of the brain.

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The rearmost lobe in each cerebral hemisphere of the brain, primarily responsible for processing visual information.

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A condition resulting from surgery that isolates the brain’s two hemispheres by cutting the fibers (mainly those of the corpus callosum) connecting them.

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The state of being fully alert and aware of one’s thoughts, feelings, and environment.