What is the coterminal angle of (-450^\circ) between (0^\circ) and (360^\circ)?
Answer and explanation
Correct answer: 270^\circ
Coterminal angles differ by an integral multiple of 360^\circ. \((-450^\circ)+2(360^\circ)=270^\circ\), and this lies between 0^\circ and 360^\circ. Obtaining 90^\circ would require adding 540^\circ, which is not a multiple of 360^\circ, so it is not coterminal with the given angle. Exam tip: For a negative angle, keep adding 360^\circ until it lies in the required interval.
Frequently asked questions
What is the correct answer to this question?
270^\circ
Why is this the correct answer?
Coterminal angles differ by an integral multiple of 360^\circ. \((-450^\circ)+2(360^\circ)=270^\circ\), and this lies between 0^\circ and 360^\circ. Obtaining 90^\circ would require adding 540^\circ, which is not a multiple of 360^\circ, so it is not coterminal with the given angle. Exam tip: For a negative angle, keep adding 360^\circ until it lies in the required interval.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
