What is the least positive coterminal angle of (920^\circ)?
Answer and explanation
Correct answer: \(200^\circ\)
Coterminal angles are obtained by adding or subtracting integral multiples of \(360^\circ\). Here, \(920^\circ-2\times360^\circ=920^\circ-720^\circ=200^\circ\). Since it is positive and less than \(360^\circ\), \(200^\circ\) is the least positive coterminal angle. \(220^\circ\) would require subtracting \(700^\circ\), which is not a multiple of \(360^\circ\). Exam tip: reduce a degree measure modulo \(360^\circ\).
Frequently asked questions
What is the correct answer to this question?
\(200^\circ\)
Why is this the correct answer?
Coterminal angles are obtained by adding or subtracting integral multiples of \(360^\circ\). Here, \(920^\circ-2\times360^\circ=920^\circ-720^\circ=200^\circ\). Since it is positive and less than \(360^\circ\), \(200^\circ\) is the least positive coterminal angle. \(220^\circ\) would require subtracting \(700^\circ\), which is not a multiple of \(360^\circ\). Exam tip: reduce a degree measure modulo \(360^\circ\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
