What is the principal coterminal angle of (2210^\circ)?
Answer and explanation
Correct answer: \(50^\circ\)
To obtain the principal coterminal angle, subtract a multiple of \(360^\circ\) so that the result lies between \(0^\circ\) and \(360^\circ\). \(2210^\circ-6\times360^\circ=2210^\circ-2160^\circ=50^\circ\). Hence, \(50^\circ\) is correct. \(40^\circ\) is not coterminal with \(2210^\circ\), since their difference is not an integral multiple of \(360^\circ\). Exam tip: divide the angle by \(360^\circ\) and use the remainder.
Frequently asked questions
What is the correct answer to this question?
\(50^\circ\)
Why is this the correct answer?
To obtain the principal coterminal angle, subtract a multiple of \(360^\circ\) so that the result lies between \(0^\circ\) and \(360^\circ\). \(2210^\circ-6\times360^\circ=2210^\circ-2160^\circ=50^\circ\). Hence, \(50^\circ\) is correct. \(40^\circ\) is not coterminal with \(2210^\circ\), since their difference is not an integral multiple of \(360^\circ\). Exam tip: divide the angle by \(360^\circ\) and use the remainder.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
