**Trigonometry Question****Objective:**Determine the value of \( \cos \theta \) given certain constraints on \( \theta \) and \( \tan \theta \).**Problem Statement:**If \( 540^\circ < \theta < 630^\circ \) and \( \tan \theta = \frac{40}{9} \), what is \( \cos \theta \)?**Multiple Choice Options:**1. \( \frac{9}{41} \)2. \( \frac{9}{7\sqrt{31}} \)3. \( -\frac{9\sqrt{31}}{217} \)4. \( \frac{40\sqrt{31}}{217} \)5. \( 617^\circ \)**Hint:**Recall the trigonometric identities and relationships between the tangent and cosine functions to derive the correct value. Ensure the angle \( \theta \) is converted into the correct range for easier calculation.

Name: **Trigonometry Question****Objective:**Determine the value of \( \cos
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: **Trigonometry Question****Objective:**Determine the value of \( \cos \theta \) given certain constraints on \( \theta \) and \( \tan \theta \).**Problem Statement:**If \( 540^\circ < \theta < 630^\circ \) and \( \tan \theta = \frac{40}{9} \), what