Which of the following is a positive coterminal angle of \(30^\circ\)?
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Answer and explanation
Correct answer: \(390^\circ\)
Coterminal angles have the same initial and terminal sides, and their difference is an integral multiple of \(360^\circ\). Since \(30^\circ+360^\circ=390^\circ\), A is correct. The difference for \(330^\circ\) is \(300^\circ\), not \(360^\circ\). Exam tip: use \(\theta\pm360^\circ\).
Frequently asked questions
What is the correct answer to this question?
\(390^\circ\)
Why is this the correct answer?
Coterminal angles have the same initial and terminal sides, and their difference is an integral multiple of \(360^\circ\). Since \(30^\circ+360^\circ=390^\circ\), A is correct. The difference for \(330^\circ\) is \(300^\circ\), not \(360^\circ\). Exam tip: use \(\theta\pm360^\circ\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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