### 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
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
### 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 \( \frac{\pi}{3} \).
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 \( \frac{\pi}{3} \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning