Choose all possible answers for the equation, in the interval [0, 27] You must choose all correct to receive credit. cos(x) = = 3 + 2kn 3 + 2kn 6. + 2kn 3 4 3 + 2kn 3
Choose all possible answers for the equation, in the interval [0, 27] You must choose all correct to receive credit. cos(x) = = 3 + 2kn 3 + 2kn 6. + 2kn 3 4 3 + 2kn 3
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°.
Related questions
Question
100%
![**Problem Statement:**
Choose all possible answers for the equation, in the interval \([0, 2\pi]\).
You must choose all correct answers to receive credit.
**Equation:**
\[
\cos(x) = -\frac{1}{2}
\]
**Options:**
- \(\frac{5\pi}{3}\)
- \(\frac{4\pi}{3} + 2k\pi\)
- \(\frac{7\pi}{6} + 2k\pi\)
- \(\frac{7\pi}{6}\)
- \(\frac{11\pi}{6}\)
- \(\frac{5\pi}{6} + 2k\pi\)
- \(\frac{\pi}{6}\)
- \(\frac{2\pi}{3}\)
- \(\frac{4\pi}{3}\)
- \(\frac{\pi}{3}\)
- \(\frac{2\pi}{3} + 2k\pi\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F487534b5-2eb1-4566-9720-a3993d445361%2Fd0c09d1c-54fb-4f14-bfe1-7f1c78e77a46%2Fu9vkwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Choose all possible answers for the equation, in the interval \([0, 2\pi]\).
You must choose all correct answers to receive credit.
**Equation:**
\[
\cos(x) = -\frac{1}{2}
\]
**Options:**
- \(\frac{5\pi}{3}\)
- \(\frac{4\pi}{3} + 2k\pi\)
- \(\frac{7\pi}{6} + 2k\pi\)
- \(\frac{7\pi}{6}\)
- \(\frac{11\pi}{6}\)
- \(\frac{5\pi}{6} + 2k\pi\)
- \(\frac{\pi}{6}\)
- \(\frac{2\pi}{3}\)
- \(\frac{4\pi}{3}\)
- \(\frac{\pi}{3}\)
- \(\frac{2\pi}{3} + 2k\pi\)
Expert Solution
Step 1
Given that:
Step 2
The angle of cosine is negative only in second and third quadrant.
If cosine lie in second quadrant then,
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning