Use Identities to Find the Indicated Value for Each Angle $\cos \theta = - \frac { 5 } { 13 } , \quad \frac { \pi } { 2 } < \theta < \pi \quad$

question 71

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\cos \theta = - \frac { 5 } { 13 } , \quad \frac { \pi } { 2 } < \theta < \pi \quad$ Find $\cos ( 2 \theta )$

• A) \(- \frac { 119 } { 169 }\)
• B) \(\frac { 120 } { 169 }\)
• C) \(- \frac { 120 } { 169 }\)
• D) \(\frac { 119 } { 169 }\)

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Definitions:

Linear Relationship

A type of association where changes in a variable predictably correspond to changes in another variable with a constant rate.

Horizontal Axis

The x-axis in a graph or chart, typically representing the independent variable or the scale of time.

Vertical Axis

The y-axis in a chart or graph, which often represents the range of the dependent variable.

Slope

The rate at which a line inclines or declines, showing the relationship between two variables in a graph, calculated as the rise over the run.