Question

find an angle in each quadrant with a common reference angle with 18°, from 0°≤θ<360°
answer
attempt 1 out of 2
quadrant i: °
quadrant ii: °
quadrant iii: °
quadrant iv: °

Explanation:

Step1: Find angle in Quadrant I

In Quadrant I, the angle is the reference angle itself.
\(18^{\circ}\)

Step2: Find angle in Quadrant II

In Quadrant II, the angle is \(180^{\circ}-\text{reference angle}\).
\(180^{\circ}- 18^{\circ}=162^{\circ}\)

Step3: Find angle in Quadrant III

In Quadrant III, the angle is \(180^{\circ}+\text{reference angle}\).
\(180^{\circ}+18^{\circ}=198^{\circ}\)

Step4: Find angle in Quadrant IV

In Quadrant IV, the angle is \(360^{\circ}-\text{reference angle}\).
\(360^{\circ}-18^{\circ}=342^{\circ}\)

Answer:

Quadrant I: \(18^{\circ}\)
Quadrant II: \(162^{\circ}\)
Quadrant III: \(198^{\circ}\)
Quadrant IV: \(342^{\circ}\)