The value of cos %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Question 44:**
The value of \(\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)\) is:
- [ ] \(\frac{3\pi}{4}\)
- [ ] \(-\frac{3\pi}{4}\)
- [ ] \(-\frac{\pi}{4}\)
- [ ] \(\frac{\pi}{4}\)
**Explanation:**
This question asks for the angle whose cosine is \(-\frac{1}{\sqrt{2}}\). The answer choices are presented in radians, and the correct option corresponds to the angle in the standard trigonometric range for inverse cosine, which is \([0, \pi]\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabe9e786-be4a-454e-b2cf-16d08b96c793%2F74e7f2c6-4306-4c5f-9af0-7a481f628e1c%2Ff0nryrj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 44:**
The value of \(\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)\) is:
- [ ] \(\frac{3\pi}{4}\)
- [ ] \(-\frac{3\pi}{4}\)
- [ ] \(-\frac{\pi}{4}\)
- [ ] \(\frac{\pi}{4}\)
**Explanation:**
This question asks for the angle whose cosine is \(-\frac{1}{\sqrt{2}}\). The answer choices are presented in radians, and the correct option corresponds to the angle in the standard trigonometric range for inverse cosine, which is \([0, \pi]\).
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