Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Find all solutions to the equation.
Write your answer in radians in terms of π, and use the "or" button as necessary.
![## Finding All Solutions to the Equation
You are required to find all solutions to the following trigonometric equation:
\[ 2 \sin \theta + \sqrt{3} = 0 \]
### Instructions
1. **Write your answer in radians:** Ensure your answer is expressed in terms of \(\pi\).
2. **Use the "or" button:** If multiple solutions are present, use the "or" button to present them succinctly.
### Example Formats
Here are some example formats for presenting your answers:
- \(\theta = \frac{\pi}{5} + 2k\pi, \, k \in \mathbb{Z}\)
- \(\theta = \frac{\pi}{7} + k\pi, \, k \in \mathbb{Z}\)
### Additional Help
If you need help with the notation, you can click on the "Help with this notation" button for further assistance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87f29602-0573-4304-bb67-760e4d4bd714%2F60a69a3e-f635-4843-a33d-c188534070b7%2F41vfv56_processed.png&w=3840&q=75)
Transcribed Image Text:## Finding All Solutions to the Equation
You are required to find all solutions to the following trigonometric equation:
\[ 2 \sin \theta + \sqrt{3} = 0 \]
### Instructions
1. **Write your answer in radians:** Ensure your answer is expressed in terms of \(\pi\).
2. **Use the "or" button:** If multiple solutions are present, use the "or" button to present them succinctly.
### Example Formats
Here are some example formats for presenting your answers:
- \(\theta = \frac{\pi}{5} + 2k\pi, \, k \in \mathbb{Z}\)
- \(\theta = \frac{\pi}{7} + k\pi, \, k \in \mathbb{Z}\)
### Additional Help
If you need help with the notation, you can click on the "Help with this notation" button for further assistance.
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