Use the Fundamental Identities to Simplify the Expression $\sin \theta = \frac { 2 \sqrt { 10 } } { 7 } , \tan \theta < 0 \quad$

question 57

Multiple Choice

Use the fundamental identities to simplify the expression.
- $\sin \theta = \frac { 2 \sqrt { 10 } } { 7 } , \tan \theta < 0 \quad$ Find $\sin ( 2 \theta )$

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

---

Definitions:

Parasocial Relationship

A type of one-sided relationship where an individual forms an emotional attachment to a media character or celebrity who is unaware of their existence.

Media

Various platforms for communication, including television, radio, newspapers, and the internet, used to store and deliver information or data.

Long-Distance

Relates to situations, communications, or transportation covering large areas or extending over miles.

Self-Expansion

A psychological model suggesting individuals have a fundamental motivation to enhance their efficacy through relationships and experiences, leading to self-growth.