교과서 질문
Find the reference angle for each angle.
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3. Unit Circle
Reference Angles
객관식
Which expression can be used to determine the reference angle for an angle in standard position if but ?
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검증된 단계별 안내1
Understand that the reference angle is the acute angle formed between the terminal side of the given angle \( \theta \) and the x-axis.
Since \( \theta \) is in standard position and lies between 180° and 360°, it is located in either the third or fourth quadrant.
For angles in the third quadrant (180° to 270°), the reference angle is found by subtracting 180° from \( \theta \), i.e., \( \theta - 180^\circ \).
For angles in the fourth quadrant (270° to 360°), the reference angle is found by subtracting \( \theta \) from 360°, i.e., \( 360^\circ - \theta \).
Since the problem states \( 180^\circ < \theta < 360^\circ \) without specifying the quadrant, the general expression to find the reference angle for angles in this range is \( 360^\circ - \theta \).
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