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Multiple Choice
Identify the reference angle of each given angle. 210°
A
30°
B
45°
C
60°
Verified step by step guidance
1
Convert the given angle (210°) into its reference angle by determining its position in the unit circle. Reference angles are always measured relative to the x-axis and are positive.
Identify the quadrant in which the angle 210° lies. Since 210° is greater than 180° but less than 270°, it lies in the third quadrant.
In the third quadrant, the reference angle is calculated by subtracting 180° from the given angle. Use the formula: Reference Angle = Angle - 180°.
Substitute the given angle (210°) into the formula: Reference Angle = 210° - 180°.
Simplify the expression to find the reference angle. The result will be a positive acute angle, which is the reference angle for 210°.