Question

select the quadrant the terminal side of the following angle is in. 355°

Explanation:

Step1: Determine the range of each quadrant

• 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 position of \(355^{\circ}\)

Since \(270^{\circ}<355^{\circ}<360^{\circ}\), we can compare \(355^{\circ}\) with the range of each quadrant.

Answer:

The terminal side of the \(355^{\circ}\) angle is in Quadrant IV.