What is the coterminal angle of (420^\circ) between (0^\circ) and (360^\circ)?
Answer and explanation
Correct answer: \(60^\circ\)
Coterminal angles differ by an integral multiple of \(360^\circ\). Since \(420^\circ-360^\circ=60^\circ\), the coterminal angle between \(0^\circ\) and \(360^\circ\) is \(60^\circ\). \(90^\circ\) is a different angle and cannot be obtained from \(420^\circ\) by adding or subtracting a whole multiple of \(360^\circ\). Exam tip: add or subtract \(360^\circ\) until the angle lies in the required interval.
Frequently asked questions
What is the correct answer to this question?
\(60^\circ\)
Why is this the correct answer?
Coterminal angles differ by an integral multiple of \(360^\circ\). Since \(420^\circ-360^\circ=60^\circ\), the coterminal angle between \(0^\circ\) and \(360^\circ\) is \(60^\circ\). \(90^\circ\) is a different angle and cannot be obtained from \(420^\circ\) by adding or subtracting a whole multiple of \(360^\circ\). Exam tip: add or subtract \(360^\circ\) until the angle lies in the required interval.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
