Question is attached **Problem Statement:**Given that \(\csc \theta = -6\) and \( \frac{3\pi}{2} < \theta < 2\pi \), find the exact values of the other trigonometric functions. Do not give decimal answers.**Trigonometric Function Values:**1. \(\sin \theta = \)2. \(\cos \theta = \)3. \(\tan \theta = \)4. \(\cot \theta = \)5. \(\sec \theta = \)**Explanation:**- The given information is that \(\csc \theta = -6\), which means \(\sin \theta = -\frac{1}{6}\) because \(\csc \theta = \frac{1}{\sin \theta}\).- The interval \(\frac{3\pi}{2} < \theta < 2\pi\) indicates that \(\theta\) is in the fourth quadrant, where sine is negative, and cosine is positive. - Use the identity \(\sin^2 \theta + \cos^2 \theta = 1\) to find \(\cos \theta\).- Determine the remaining values using the identities \(\tan \theta = \frac{\sin \theta}{\cos \theta}\), \(\cot \theta = \frac{1}{\tan \theta}\), and \(\sec \theta = \frac{1}{\cos \theta}\).

Name: Question is attached **Problem Statement:**Given that \(\csc \theta =
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Question is attached **Problem Statement:**Given that \(\csc \theta = -6\) and \( \frac{3\pi}{2} < \theta < 2\pi \), find the exact values of the other trigonometric functions. Do not give decimal answers.**Trigonometric Function Values:**1. \(\sin \