Identify the reference angle ø for each given angle, theta.When theta= 300 degrees, ø=When theta= 225 degrees, ø=When theta= 480 degrees, ø=When theta= -210 degrees, ø=
Question
Answer:
∅ = 60∅ = 45
∅ = 60
∅ = 30
For a 300° angle, it lies in Quadrant IV; therefore we subtract it from 360:
360-300 = 60
For a 225° angle, it lies in Quadrant III; therefore we subtract 180 from it:
225-180 = 45
For a 480° angle, it will lie in Quadrant II (it will lie in the same place as 120°); therefore we subtract it from 180:
180-120 = 60
For a -210° angle, it will lie in Quadrant II (it will lie in the same place as 150°); therefore we subtract it from 180:
180-150 = 30
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