Find the Exact Value $\sin \left( 2 \tan ^ { - 1 } \frac { 5 } { 12 } \right)$

question 15

Multiple Choice

Find the exact value. $\sin \left( 2 \tan ^ { - 1 } \frac { 5 } { 12 } \right)$

• A) \(5 / 6\)
• B) \(12 / 5\)
• C) \(119 / 120\)
• D) \(120 / 169\)
• E) none of these

---

Definitions:

Motivation to Approach

The drive or inclination to move towards or pursue positive outcomes or rewards.

Facial Muscles

A group of striated skeletal muscles innervated by the facial nerve that control facial expressions and movements.

Coding System

A method or set of rules used to convert information into another form or representation, often for the purpose of confidentiality, data compression, or error correction.

Parasympathetic Nervous System

The subdivision of the autonomic nervous system that operates during relaxed states and that conserves energy.