Question

suppose the angle 175° is in standard position. what quadrant is its terminal side in?
a. one
b. two
c. three
d four

Explanation:

Step1: Determine the range of each quadrant

• Quadrant One: \(0^{\circ}<\theta < 90^{\circ}\)
• Quadrant Two: \(90^{\circ}<\theta < 180^{\circ}\)
• Quadrant Three: \(180^{\circ}<\theta < 270^{\circ}\)
• Quadrant Four: \(270^{\circ}<\theta < 360^{\circ}\)

Step2: Check the given angle

Given \(\theta = 175^{\circ}\), and \(90^{\circ}<175^{\circ}<180^{\circ}\)

Answer:

B. Two