### Quiz: Acute Angles **Question:** Which angle below is an acute angle? **Options:** - \( \boxed{\circ} \quad \frac{3\pi}{4} \) - \( \boxed{\circ} \quad \frac{3\pi}{2} \) - \( \boxed{\rightarrow} \quad \frac{\pi}{2} \) - \( \boxed{\circ} \quad \frac{\pi}{3} \) An acute angle is an angle that is less than \(90^\circ\) or \(\frac{\pi}{2}\) radians. Evaluate each given option to determine which one represents an acute angle. **Notes on Angles in Radians:** - \( \frac{3\pi}{4} \) radians = \( 135^\circ \) (not an acute angle) - \( \frac{3\pi}{2} \) radians = \( 270^\circ \) (not an acute angle) - \( \frac{\pi}{2} \) radians = \( 90^\circ \) (not an acute angle) - \( \frac{\pi}{3} \) radians = \( 60^\circ \) (an acute angle) **Correct Answer:** The acute angle among the provided options is \( \frac{\pi}{3} \).
### Quiz: Acute Angles **Question:** Which angle below is an acute angle? **Options:** - \( \boxed{\circ} \quad \frac{3\pi}{4} \) - \( \boxed{\circ} \quad \frac{3\pi}{2} \) - \( \boxed{\rightarrow} \quad \frac{\pi}{2} \) - \( \boxed{\circ} \quad \frac{\pi}{3} \) An acute angle is an angle that is less than \(90^\circ\) or \(\frac{\pi}{2}\) radians. Evaluate each given option to determine which one represents an acute angle. **Notes on Angles in Radians:** - \( \frac{3\pi}{4} \) radians = \( 135^\circ \) (not an acute angle) - \( \frac{3\pi}{2} \) radians = \( 270^\circ \) (not an acute angle) - \( \frac{\pi}{2} \) radians = \( 90^\circ \) (not an acute angle) - \( \frac{\pi}{3} \) radians = \( 60^\circ \) (an acute angle) **Correct Answer:** The acute angle among the provided options is \( \frac{\pi}{3} \).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:### Quiz: Acute Angles
**Question:**
Which angle below is an acute angle?
**Options:**
- \( \boxed{\circ} \quad \frac{3\pi}{4} \)
- \( \boxed{\circ} \quad \frac{3\pi}{2} \)
- \( \boxed{\rightarrow} \quad \frac{\pi}{2} \)
- \( \boxed{\circ} \quad \frac{\pi}{3} \)
An acute angle is an angle that is less than \(90^\circ\) or \(\frac{\pi}{2}\) radians. Evaluate each given option to determine which one represents an acute angle.
**Notes on Angles in Radians:**
- \( \frac{3\pi}{4} \) radians = \( 135^\circ \) (not an acute angle)
- \( \frac{3\pi}{2} \) radians = \( 270^\circ \) (not an acute angle)
- \( \frac{\pi}{2} \) radians = \( 90^\circ \) (not an acute angle)
- \( \frac{\pi}{3} \) radians = \( 60^\circ \) (an acute angle)
**Correct Answer:**
The acute angle among the provided options is \( \frac{\pi}{3} \).
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