The second image is Example 1.c. For reference As in Example 1c of Section 5.1, assume \(\tan \theta = -2.7\), and \(\theta\) is in the second quadrant. Use one of the fundamental identities to find \(\cot(-\theta)\). Provide 4 decimal places.**Answer:** The image contains a trigonometry exercise involving the manipulation of trigonometric identities. Below is a transcription with explanations:### Trigonometric Identities and Calculations- **Given:** - \(\sin \theta = \frac{5 \sqrt{34}}{34}\)- **Objective:** - Use reciprocal identities to relate the tangent and cotangent functions.#### Example Problem- **Expression:** \[ \cot(-\theta) \]- **Calculations:** 1. **Reciprocal Identity:** \[ \cot(-\theta) = \frac{1}{\tan(-\theta)} \] 2. **Even-Odd Identity:** - \(\tan(-\theta) = -\tan(\theta)\) 3. **Substitute and Simplify:** \[ = \frac{1}{-\tan(\theta)} = -\frac{1}{\tan(\theta)} \] 4. **Further Simplification:** \[ = -\left(\frac{1}{\frac{5}{3}}\right) = -\left(\frac{3}{5}\right) \] 5. **Multiply and Rewrite:** \[ = 1 \div \left(\frac{5}{3}\right) = 1 \cdot \frac{3}{5} = \frac{3}{5} \]#### ExercisesNow try solving these similar problems:- **Exercises:** - 11 - 19 - 31This section demonstrates the application of reciprocal identities and even-odd identities associated with trigonometric functions to solve expressions involving cotangents and tangents. It is important to thoroughly understand these identities to simplify and solve trigonometric problems effectively.

Answered: Image /qna-images/answer/d8b45f53-d7cd-4ddc-89d1-2342c02bbf6b.jpg

Answered: As in Example 1c of Section 5.1, assume…

As in Example 1c of Section 5.1, assume tan e = -2.7, and e is in the second quadrant. Use one of the fundamental identities to find cot(-0). Provide 4 decimal places. Answer:

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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