# Trigonometric Functions: Finding Values of Trigonometric Functions Given Information### Problem StatementLet θ be an angle such that $ \text{csc} \, θ = -\frac{7}{4} $ and $ \tan θ > 0 $.Find the exact values of $ \cot θ $ and $ \sec θ $.### Required Values- $ \cot θ = \boxed{} $- $ \sec θ = \boxed{} $### Diagram DescriptionIn the given problem, there is no graph or detailed diagram provided. The interface seems to be a part of an interactive educational platform where students input their answers in the provided boxes. The interface has buttons for "Explanation" and "Check," which suggests these could be used for verifying or probing further into the problem and verifying the solutions respectively.### NoteUnderstanding and solving this problem involves using the fundamental relationships between the various trigonometric functions and applying identities or algebraic manipulations to find the required values.### Additional Resources- Explanation Button: Usually, this type of button can offer a step-by-step solution or hints to aid in solving the problem.- Check Button: This typically validates the submitted answers against the correct results.### License Information- Note that the interface is a product of McGraw-Hill Education, and all rights are reserved as mentioned at the bottom of the interface.### Accessibility- Privacy and Accessibility terms are provided by McGraw-Hill Education, ensuring compliances and user ease in using the content.

Answered: Image /qna-images/answer/454ef40a-1713-4301-b764-0c4eaec2e4e4.jpg

Answered: Let 0 be an angle such that csc 0 and…

Math

Trigonometry

Let 0 be an angle such that csc 0 and tan0>0. 4 Find the exact values of cot0 and sec 0. 믐 미6 cot 0 = ? sece =

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

# Trigonometric Functions: Finding Values of Trigonometric Functions Given Information

### Problem Statement
Let θ be an angle such that $ \text{csc} \, θ = -\frac{7}{4} $ and $ \tan θ > 0 $.

Find the exact values of $ \cot θ $ and $ \sec θ $.

### Required Values
- $ \cot θ = \boxed{} $
- $ \sec θ = \boxed{} $

### Diagram Description
In the given problem, there is no graph or detailed diagram provided. The interface seems to be a part of an interactive educational platform where students input their answers in the provided boxes. The interface has buttons for "Explanation" and "Check," which suggests these could be used for verifying or probing further into the problem and verifying the solutions respectively.

### Note
Understanding and solving this problem involves using the fundamental relationships between the various trigonometric functions and applying identities or algebraic manipulations to find the required values.

### Additional Resources
- Explanation Button: Usually, this type of button can offer a step-by-step solution or hints to aid in solving the problem.
- Check Button: This typically validates the submitted answers against the correct results.

### License Information
- Note that the interface is a product of McGraw-Hill Education, and all rights are reserved as mentioned at the bottom of the interface.

### Accessibility
- Privacy and Accessibility terms are provided by McGraw-Hill Education, ensuring compliances and user ease in using the content.

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