Use Identities to Find the Indicated Value for Each Angle $\sin \theta = \frac { 2 \sqrt { 10 } } { 7 } , \tan \theta < 0 \quad$

question 350

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\sin \theta = \frac { 2 \sqrt { 10 } } { 7 } , \tan \theta < 0 \quad$ Find $\sin ( 2 \theta )$

• A) \(\frac { - 12 \sqrt { 10 } } { 49 }\)
• B) \(\frac { 12 \sqrt { 10 } } { 49 }\)
• C) \(- \frac { 31 } { 49 }\)
• D) \(\frac { 31 } { 49 }\)

---

Definitions:

Anger

A strong emotional response characterized by feelings of displeasure or hostility, often resulting from perceived wrongs or frustrations.

Anxiety

A feeling of worry, nervousness, or unease about something with an uncertain outcome, which can affect day-to-day functioning.

Depression

A psychological disorder defined by a continuously low mood or a lack of enjoyment in activities, which seriously disrupts everyday functioning.

Emotional Impacts

refers to the effects or consequences of events, actions, or conditions on an individual's emotions or psychological state.