What is the coterminal angle of (-30^\circ) between (0^\circ) and (360^\circ)?
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Answer and explanation
Correct answer: 330°
Coterminal angles differ by an integral multiple of 360°. Here, \((-30^\circ+360^\circ)=330^\circ\), which lies between 0° and 360°. Although 300° is a nearby distractor, its difference from \(-30^\circ\) is 330°, not a multiple of 360°. Exam tip: To convert a negative angle into the 0° to 360° range, first add 360°.
Frequently asked questions
What is the correct answer to this question?
330°
Why is this the correct answer?
Coterminal angles differ by an integral multiple of 360°. Here, \((-30^\circ+360^\circ)=330^\circ\), which lies between 0° and 360°. Although 300° is a nearby distractor, its difference from \(-30^\circ\) is 330°, not a multiple of 360°. Exam tip: To convert a negative angle into the 0° to 360° range, first add 360°.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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