Find the Exact Value Under the Given Conditions Find $\cos ( \alpha + \beta )$

question 245

Multiple Choice

Find the exact value under the given conditions.
- $\sin \alpha = - \frac { 24 } { 25 } , \pi < \alpha < \frac { 3 \pi } { 2 } ; \quad \tan \beta = - \frac { 2 \sqrt { 21 } } { 21 } , \frac { \pi } { 2 } < \beta < \pi \quad$ Find $\cos ( \alpha + \beta )$

• A) \(\frac { 48 - 7 \sqrt { 21 } } { 125 }\)
• B) \(\frac { 48 + 7 \sqrt { 21 } } { 125 }\)
• C) \(\frac { 14 - 24 \sqrt { 21 } } { 125 }\)
• D) \(\frac { - 14 - 24 \sqrt { 21 } } { 125 }\)

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Definitions:

Process Value Analysis

A business methodology focused on increasing the efficiency of processes by analyzing their inputs and outputs.

Core Processes

Fundamental business processes that are essential to the operation of a company and its ability to provide value to customers.

Performance Contributions

The impact or value an individual or team adds to an organization's goals through their work, expertise, and achievements.

Work Process

The sequence of tasks or activities that are carried out to produce a particular outcome, often within a professional or industrial setting.