Question

question
find an angle in each quadrant with a common reference angle with 162°, from 0°≤θ<360°
answer attempt 1 out of 3
quadrant i:
°
quadrant ii:
°
quadrant iii:
°
quadrant iv:
°
submit answer
watch video
show examples

Explanation:

Step1: Find reference angle

The reference angle of \(162^{\circ}\) is \(180^{\circ}- 162^{\circ}=18^{\circ}\)

Step2: Find angles in other quadrants

• Quadrant I: The angle with reference angle \(18^{\circ}\) in Quadrant I is \(18^{\circ}\)
• Quadrant II: \(162^{\circ}\) (already given, reference angle \(18^{\circ}\))
• Quadrant III: The angle with reference angle \(18^{\circ}\) in Quadrant III is \(180^{\circ}+18^{\circ} = 198^{\circ}\)
• Quadrant IV: The angle with reference angle \(18^{\circ}\) in Quadrant IV is \(360^{\circ}-18^{\circ}=342^{\circ}\)

Answer:

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