Which of the following is not in the domain of cot (x)? Select all correct answers. Select all that apply: 0 -π kl6
Which of the following is not in the domain of cot (x)? Select all correct answers. Select all that apply: 0 -π kl6
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
![**Question:**
Which of the following is not in the domain of \( \cot(x) \)? Select all correct answers.
**Options:**
- [ ] \( -\pi \)
- [ ] \( \frac{\pi}{6} \)
- [ ] \( \frac{\pi}{2} \)
- [ ] \( \frac{3\pi}{2} \)
- [ ] \( 0 \)
**Explanation:**
The cotangent function, \( \cot(x) \), is undefined where the sine of \( x \) is zero. These points occur at integer multiples of \( \pi \) (e.g., \( 0, \pi, -\pi \), etc.). Therefore, values in the options that are multiples of \( \pi \) are not in the domain of \( \cot(x) \) because they would result in division by zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24f7b9fc-b934-4e37-ae35-bdc4b8c3050d%2F86a59313-1ae3-4f80-8fc2-dcf6611718ae%2Fjdr1v4_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Which of the following is not in the domain of \( \cot(x) \)? Select all correct answers.
**Options:**
- [ ] \( -\pi \)
- [ ] \( \frac{\pi}{6} \)
- [ ] \( \frac{\pi}{2} \)
- [ ] \( \frac{3\pi}{2} \)
- [ ] \( 0 \)
**Explanation:**
The cotangent function, \( \cot(x) \), is undefined where the sine of \( x \) is zero. These points occur at integer multiples of \( \pi \) (e.g., \( 0, \pi, -\pi \), etc.). Therefore, values in the options that are multiples of \( \pi \) are not in the domain of \( \cot(x) \) because they would result in division by zero.
![**Title: Finding Asymptotes of Trigonometric Functions**
**Problem Statement:**
Give the equation of an asymptote for the graph of \( f(x) = \tan 2x \) on the interval \( (0, \pi) \).
**Instructions:**
Enter your answer as an equation, \( x = a \). If there is more than one answer, separate each equation with a comma, \( x = a, x = b \).
**Answer Input:**
Provide your answer below:
[Answer box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24f7b9fc-b934-4e37-ae35-bdc4b8c3050d%2F86a59313-1ae3-4f80-8fc2-dcf6611718ae%2F1d53tqs_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Finding Asymptotes of Trigonometric Functions**
**Problem Statement:**
Give the equation of an asymptote for the graph of \( f(x) = \tan 2x \) on the interval \( (0, \pi) \).
**Instructions:**
Enter your answer as an equation, \( x = a \). If there is more than one answer, separate each equation with a comma, \( x = a, x = b \).
**Answer Input:**
Provide your answer below:
[Answer box]
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