Let 0 be an angle such that sine = -- and cote >0. Find the exact values of tane and sec 0. tan e = sece = | %3D 2/5 olo

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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**Problem Statement:**

Let \( \theta \) be an angle such that \( \sin \theta = -\frac{2}{5} \) and \( \cot \theta > 0 \).

Find the exact values of \( \tan \theta \) and \( \sec \theta \).

**Solution Fields:**

- \( \tan \theta = \) [ ] 
- \( \sec \theta = \) [ ]

**Diagram Explanation:**

The image includes a rectangular box labeled with the solution fields for \( \tan \theta \) and \( \sec \theta \), where students are expected to input their answers. There are icons next to the box that represent formatting or action options, such as rotating or entering question mode. These icons do not contain additional mathematical content relevant to the problem.
Transcribed Image Text:**Problem Statement:** Let \( \theta \) be an angle such that \( \sin \theta = -\frac{2}{5} \) and \( \cot \theta > 0 \). Find the exact values of \( \tan \theta \) and \( \sec \theta \). **Solution Fields:** - \( \tan \theta = \) [ ] - \( \sec \theta = \) [ ] **Diagram Explanation:** The image includes a rectangular box labeled with the solution fields for \( \tan \theta \) and \( \sec \theta \), where students are expected to input their answers. There are icons next to the box that represent formatting or action options, such as rotating or entering question mode. These icons do not contain additional mathematical content relevant to the problem.
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