Question

an angle whose measure is 40° is in standard position. in which quadrant does the terminal side of the angle fall?
quadrant i
quadrant ii
quadrant iii
quadrant iv

Explanation:

Step1: Recall quadrant angle ranges

Quadrant I: \(0^{\circ}<\theta < 90^{\circ}\), Quadrant II: \(90^{\circ}<\theta < 180^{\circ}\), Quadrant III: \(180^{\circ}<\theta < 270^{\circ}\), Quadrant IV: \(270^{\circ}<\theta < 360^{\circ}\)

Step2: Check the given angle

Given \(\theta = 40^{\circ}\), and \(0^{\circ}<40^{\circ}<90^{\circ}\)

Answer:

Quadrant I