**Question** If \( \sin(\theta) = -\frac{24}{25} \), and \( \theta \) is in Quadrant III, then what is \( \tan\left(\frac{\theta}{2}\right) \)? Simplify your answer completely. Provide your answer below: \[ \tan\left(\frac{\theta}{2}\right) = \boxed{} \] **Content attribution**

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question**

If \( \sin(\theta) = -\frac{24}{25} \), and \( \theta \) is in Quadrant III, then what is \( \tan\left(\frac{\theta}{2}\right) \)?

Simplify your answer completely.

Provide your answer below:

\[ \tan\left(\frac{\theta}{2}\right) = \boxed{} \]

**Content attribution**
Transcribed Image Text:**Question** If \( \sin(\theta) = -\frac{24}{25} \), and \( \theta \) is in Quadrant III, then what is \( \tan\left(\frac{\theta}{2}\right) \)? Simplify your answer completely. Provide your answer below: \[ \tan\left(\frac{\theta}{2}\right) = \boxed{} \] **Content attribution**
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sinθ=-2425 and θ is in III quadrant

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