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In what quadrant does the angle lie? 7 π/4 II O IV

In what quadrant does the angle lie? 7 π/4 II O IV

Calculus: Early Transcendentals
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...
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**Question:** In what quadrant does the angle lie? **Angle:** \(7\pi/4\) **Options:** - II - I - III - IV To determine which quadrant the angle \(7\pi/4\) lies in, we start by considering the standard position and period of angles in the unit circle. The angle \(2\pi\) completes one full revolution (360 degrees), which means \(7\pi/4\) is less than \(2\pi\) and is positioned within one full circle. Calculate \(7\pi/4\) as a decimal equivalent: 1. \(2\pi = 8\pi/4\) 2. Since \(7\pi/4\) is less than \(8\pi/4\), it is within the fourth quadrant (IV), which ranges from \(3\pi/2\) to \(2\pi\). Thus, \(7\pi/4\) lies in the **fourth quadrant (IV)**.
Transcribed Image Text:**Question:** In what quadrant does the angle lie? **Angle:** \(7\pi/4\) **Options:** - II - I - III - IV To determine which quadrant the angle \(7\pi/4\) lies in, we start by considering the standard position and period of angles in the unit circle. The angle \(2\pi\) completes one full revolution (360 degrees), which means \(7\pi/4\) is less than \(2\pi\) and is positioned within one full circle. Calculate \(7\pi/4\) as a decimal equivalent: 1. \(2\pi = 8\pi/4\) 2. Since \(7\pi/4\) is less than \(8\pi/4\), it is within the fourth quadrant (IV), which ranges from \(3\pi/2\) to \(2\pi\). Thus, \(7\pi/4\) lies in the **fourth quadrant (IV)**.
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