Multiple Choice
Which expression can be used to determine the reference angle for an angle in standard position if but ?
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3. Unit Circle
Reference Angles
Multiple Choice
Which of the following pairs of angles have the same reference angle?
A
and
B
and
C
and
D
and
Verified step by step guidance1
Recall that the reference angle is the acute angle formed between the terminal side of the given angle and the x-axis. It is always between 0° and 90°.
For angles in the first quadrant (0° to 90°), the reference angle is the angle itself.
For angles in the second quadrant (90° to 180°), the reference angle is calculated as \(180^\circ - \theta\), where \(\theta\) is the given angle.
Calculate the reference angles for each pair: for example, for 30° and 150°, the reference angle for 30° is 30°, and for 150°, it is \(180^\circ - 150^\circ = 30^\circ\).
Compare the reference angles of each pair to determine which pairs have the same reference angle.
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