If an angle is (725^\circ), what is its principal angle?
Answer and explanation
Correct answer: \(5^\circ\)
To find the principal angle, subtract complete multiples of \(360^\circ\) from the given angle. Since \(725^\circ=2\times360^\circ+5^\circ\), its principal angle is \(5^\circ\). The angle \(15^\circ\) would result from subtracting \(710^\circ\), which is not a multiple of \(360^\circ\). Exam tip: divide the angle by \(360^\circ\) and take the remainder.
Frequently asked questions
What is the correct answer to this question?
\(5^\circ\)
Why is this the correct answer?
To find the principal angle, subtract complete multiples of \(360^\circ\) from the given angle. Since \(725^\circ=2\times360^\circ+5^\circ\), its principal angle is \(5^\circ\). The angle \(15^\circ\) would result from subtracting \(710^\circ\), which is not a multiple of \(360^\circ\). Exam tip: divide the angle by \(360^\circ\) and take the remainder.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
