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

question 287

Multiple Choice

Find the exact value under the given conditions.
- $\tan \alpha = \frac { 5 } { 12 } , \pi < \alpha < \frac { 3 \pi } { 2 } ; \quad \cos \beta = - \frac { 4 } { 5 } , \frac { \pi } { 2 } < \beta < \pi \quad$ Find $\sin ( \alpha + \beta )$ .

• A) \(\frac { 63 } { 65 }\)
• B) \(\frac { 33 } { 65 }\)
• C) \(- \frac { 16 } { 65 }\)
• D) \(\frac { 56 } { 65 }\)

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Definitions:

Control Group

The group in an experiment or study that does not receive the experimental treatment, serving as a baseline for comparison with the experimental group.

Mathematical Summaries

The use of statistics, such as mean, median, mode, and range, to provide a comprehensive overview of numerical data.

Inferential Statistics

A branch of statistics that allows us to make predictions or inferences about a population based on data from a sample.

Descriptive Statistics

Descriptive Statistics consist of quantitative analysis techniques that summarize, show, or describe basic features of a dataset, providing simple summaries about the sample and the measures.