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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
Understand the concept of a reference angle: A reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis. It is always positive and less than or equal to 90°.
For the angle 210°, first determine which quadrant it is in. Since 210° is greater than 180° and less than 270°, it is in the third quadrant.
To find the reference angle for an angle in the third quadrant, subtract 180° from the given angle. So, for 210°, calculate 210° - 180°.
For the angle 45°, since it is already less than 90°, it is in the first quadrant. The reference angle for any angle in the first quadrant is the angle itself, so the reference angle is 45°.
For the angle 60°, it is also in the first quadrant as it is less than 90°. Therefore, the reference angle is the angle itself, which is 60°.