Which angle has (275^\circ) as its principal angle between (0^\circ) and (360^\circ)?
Answer and explanation
Correct answer: \(635^\circ\)
To find a principal angle, subtract multiples of \(360^\circ\) from the given angle. Since \(635^\circ-360^\circ=275^\circ\), the principal angle of \(635^\circ\) is \(275^\circ\). In contrast, \(725^\circ-720^\circ=5^\circ\), so it is not correct. Exam tip: Coterminal angles differ by an integral multiple of \(360^\circ\).
Frequently asked questions
What is the correct answer to this question?
\(635^\circ\)
Why is this the correct answer?
To find a principal angle, subtract multiples of \(360^\circ\) from the given angle. Since \(635^\circ-360^\circ=275^\circ\), the principal angle of \(635^\circ\) is \(275^\circ\). In contrast, \(725^\circ-720^\circ=5^\circ\), so it is not correct. Exam tip: Coterminal angles differ by an integral multiple of \(360^\circ\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
