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

question 158

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 $\sin t = \frac { 1 } { 4 }$ , with $t$ in quadrant II.

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

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Definitions:

US

In the context of conditioning, this stands for the Unconditioned Stimulus, which automatically triggers a response without prior learning.

Classical Conditioning

A systematic method of pairing two stimuli repeatedly for learning; initially, the response comes from the second stimulus but ultimately comes from the first stimulus alone.

Violently Ill

Experiencing severe and intense symptoms of illness, often with rapid onset and significant discomfort or distress.

Spaghetti

A type of pasta originated from Italy, typically made from durum wheat and water, and known for its long, thin, cylindrical shape.