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

question 490

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

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Definitions:

Past Eruptions

Historical instances of volcanic activity where molten rock (lava), volcanic ash, and gases were expelled from a volcano.

Central Crater

The main depression at the summit of a volcano, formed by explosive ejection of material and collapse of the area above the magma chamber.

Volcanic Fluids

Liquid substances, including magma, water, and gases, that are emitted by a volcano during an eruption.

Steep Slopes

Land areas with a sharp incline, prone to erosion, landslides, and offering distinct ecosystems and geological formations.