Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
10. 3cot (x) =-L

10. 3cot (x) =-L

Trigonometry (11th Edition)
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°.
See similar textbooks
Question

B) Solve the equation for 0 < or equal to x < or equal to 2pi

C) find all solutions to the equation in radians

Must be done WITHOUT A CALCULATOR. there is only one answer. answer choices are on the first image

10. \(\sqrt{3} \cot(x) = -1\) This equation represents a trigonometric identity involving the cotangent function. To solve for \(x\), you'll need to understand basic trigonometric concepts and how to manipulate such equations. The equation implies finding the angle \(x\) where the cotangent is \(-\frac{1}{\sqrt{3}}\), considering the properties and periodicity of the trigonometric functions.
Transcribed Image Text:10. \(\sqrt{3} \cot(x) = -1\) This equation represents a trigonometric identity involving the cotangent function. To solve for \(x\), you'll need to understand basic trigonometric concepts and how to manipulate such equations. The equation implies finding the angle \(x\) where the cotangent is \(-\frac{1}{\sqrt{3}}\), considering the properties and periodicity of the trigonometric functions.
### Problem 8: Problem 6.3.10 b and c #### Option A - **b:** \(\frac{5\pi}{6}, \frac{11\pi}{6}\) - **c:** \(\frac{5\pi}{6} + k\pi\) #### Option B - **b:** \(\frac{\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{\pi}{3} + k\pi\) #### Option C - **b:** \(\frac{2\pi}{3}, \frac{5\pi}{3}\) - **c:** \(\frac{2\pi}{3} + k\pi\) #### Option D - **b:** \(\frac{\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{\pi}{3} + 2k\pi, \frac{4\pi}{3} + 2k\pi\) #### Option E - **b:** \(\frac{2\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{2\pi}{3} + k\pi\) ### Explanation Each option provides solutions \(b\) and \(c\) in terms of \(\pi\), indicating specific angles or periodic solutions, where \(k\) denotes an integer representing the multiple of the periodic interval.
Transcribed Image Text:### Problem 8: Problem 6.3.10 b and c #### Option A - **b:** \(\frac{5\pi}{6}, \frac{11\pi}{6}\) - **c:** \(\frac{5\pi}{6} + k\pi\) #### Option B - **b:** \(\frac{\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{\pi}{3} + k\pi\) #### Option C - **b:** \(\frac{2\pi}{3}, \frac{5\pi}{3}\) - **c:** \(\frac{2\pi}{3} + k\pi\) #### Option D - **b:** \(\frac{\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{\pi}{3} + 2k\pi, \frac{4\pi}{3} + 2k\pi\) #### Option E - **b:** \(\frac{2\pi}{3}, \frac{4\pi}{3}\) - **c:** \(\frac{2\pi}{3} + k\pi\) ### Explanation Each option provides solutions \(b\) and \(c\) in terms of \(\pi\), indicating specific angles or periodic solutions, where \(k\) denotes an integer representing the multiple of the periodic interval.
Expert Solution
Step 1

We have to  find

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS