Question
Asked Nov 4, 2019
Find the reference angle for the given angle.
(а)
120°
(b)
230°
(c)
290°
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Find the reference angle for the given angle. (а) 120° (b) 230° (c) 290°

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Step 1

Find the reference angle for the given angles.

(a)
1200
(Б)
230°
(c)
290°
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(a) 1200 (Б) 230° (c) 290°

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Step 2

The reference angle is the angle that the given angle makes with the x-axis.

Part a: 120 degree.

Step 1: Determine the quadrant of given angle.

120 is lies between angle 90 and 180 (second quadrant)

So, terminal side is in quadrant 3rd.

Step 2 : Determine the operation.

Subtract the angle from 180 degrees.

Ref.Angle 180-120 = 60°
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Ref.Angle 180-120 = 60°

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Step 3

Part b: 230 degree.

Angle 230 is lies between 180 and 270.

So, terminal s...

Ref.Angle 230-180 50°
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Ref.Angle 230-180 50°

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