Find all angles, 0° <0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 5 cos? 0 + cos 0 = 0 CoS %3D
Find all angles, 0° <0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 5 cos? 0 + cos 0 = 0 CoS %3D
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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Question
![### Trigonometric Equation Problem
**Problem Statement:**
Find all angles, \( 0° \leq \theta < 360° \), that satisfy the equation below, to the nearest 10th of a degree.
**Equation:**
\[ 5 \cos^2 \theta + \cos \theta = 0 \]
**Answer Submission Box:**
- There is an input box where you can write your answer.
- Once you have written your answer, click the "Submit Answer" button.
This problem requires solving a trigonometric equation involving the cosine of the angle \(\theta\). Follow the steps below to solve the equation:
1. Factor the equation if possible.
2. Use trigonometric identities and inverse trigonometric functions as needed.
3. Check the calculated \(\theta\) values within the specified range \(0° \leq \theta < 360°\).
Remember to round your answers to the nearest 10th of a degree.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49e7cf44-c454-4b76-b99a-274946cc3378%2F5b79650c-d199-4446-ad09-465f70448d58%2Fyzq9vb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Trigonometric Equation Problem
**Problem Statement:**
Find all angles, \( 0° \leq \theta < 360° \), that satisfy the equation below, to the nearest 10th of a degree.
**Equation:**
\[ 5 \cos^2 \theta + \cos \theta = 0 \]
**Answer Submission Box:**
- There is an input box where you can write your answer.
- Once you have written your answer, click the "Submit Answer" button.
This problem requires solving a trigonometric equation involving the cosine of the angle \(\theta\). Follow the steps below to solve the equation:
1. Factor the equation if possible.
2. Use trigonometric identities and inverse trigonometric functions as needed.
3. Check the calculated \(\theta\) values within the specified range \(0° \leq \theta < 360°\).
Remember to round your answers to the nearest 10th of a degree.
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