Which of the following angles is an example of a coterminal angle of \(210^\circ\)?
Answer and explanation
Correct answer: \(-150^\circ\)
Coterminal angles have the same initial and terminal sides, so their difference is a multiple of \(360^\circ\). Since \(210^\circ-360^\circ=-150^\circ\), option A is correct. The difference between \(210^\circ\) and \(150^\circ\) is only \(60^\circ\). Exam tip: add or subtract \(360^\circ\) to test coterminal angles.
Frequently asked questions
What is the correct answer to this question?
\(-150^\circ\)
Why is this the correct answer?
Coterminal angles have the same initial and terminal sides, so their difference is a multiple of \(360^\circ\). Since \(210^\circ-360^\circ=-150^\circ\), option A is correct. The difference between \(210^\circ\) and \(150^\circ\) is only \(60^\circ\). Exam tip: add or subtract \(360^\circ\) to test coterminal angles.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
