Find the Exact Value Under the Given Conditions $\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$

question 295

Multiple Choice

Find the exact value under the given conditions.
- $\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$
Find $\cos ( \alpha - \beta )$

• A) \(\frac { 8 - 3 \sqrt { 21 } } { 25 }\)
• B) \(\frac { 6 + 4 \sqrt { 21 } } { 25 }\)
• C) \(\frac { 6 - 4 \sqrt { 21 } } { 25 }\)
• D) \(\frac { - 8 + 3 \sqrt { 21 } } { 25 }\)

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Definitions:

McClelland

David McClelland, a psychologist known for his work on motivation and the theory of Needs, including Achievement, Affiliation, and Power.

Achievement Needs

The desire or motivation of an individual to achieve excellence, accomplish challenging goals, and advance personally or professionally.

Moderately Difficult

Characterized by a level of challenge that is neither too easy nor too hard, requiring a fair amount of effort to overcome.

Personal Responsibility

The concept emphasizing an individual's obligation to manage their own actions, decisions, and well-being in various aspects of life.