Find the Exact Value by Using a Half-Angle Identity $\cos ( \mathrm { s } + \mathrm { t } )$

question 233

Multiple Choice

Find the exact value by using a half-angle identity.
-Find $\cos ( \mathrm { s } + \mathrm { t } )$ given that $\cos \mathrm { s } = \frac { 1 } { 3 }$ , 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) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 6 }\)
• C) \(- \frac { \sqrt { 15 } + 2 \sqrt { 2 } } { 12 }\)
• D) \(\frac { \sqrt { 15 } - 2 \sqrt { 2 } } { 12 }\)

Understand the role of person-situation interaction in personality expression.

Comprehend the debates within personality psychology, such as the person-situation and nature-nurture debates.

Distinguish the methods for studying and measuring personality.

Grasp the concept of trait theories and their application in understanding human behavior.

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Definitions:

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Long-Run

A period in economics during which all factors of production and costs are variable, allowing full adjustment to change.

Indifference Principle

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The monetary value assigned to residential properties, influenced by factors like location, demand, and economic conditions.