Use Identities to Find the Indicated Value for Each Angle $\sin \theta = - \frac { 4 } { 5 } , \frac { 3 \pi } { 2 } < \theta < 2 \pi \quad$

question 180

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\sin \theta = - \frac { 4 } { 5 } , \frac { 3 \pi } { 2 } < \theta < 2 \pi \quad$ Find $\cos ( 2 \theta )$ .

• A) \(\frac { 24 } { 25 }\)
• B) \(- \frac { 24 } { 25 }\)
• C) \(\frac { 7 } { 25 }\)
• D) \(- \frac { 7 } { 25 }\)

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Definitions:

Diameter

A straight line passing from side to side through the center of a body or figure, especially a circle or sphere, representing its width.

Broaching

A machining process that uses a toothed tool, called a broach, to remove material.

Drilling

The process of cutting or boring a hole through solid materials using a drill bit, often for the purpose of passing through other components or accommodating fasteners.

Reaming

A machining process used to create precise and smooth holes in a material, often as a finishing operation.