Which pair of angles, in standard position, has the same terminal arm but represents rotations in opposite directions?
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Answer and explanation
Correct answer: \(\frac{\pi}{3}\) और \(-\frac{5\pi}{3}\)
\(\frac{\pi}{3}-(-\frac{5\pi}{3})=2\pi\), so the angles are coterminal and have the same terminal arm. One angle is positive and the other negative, so their rotations are in opposite directions. Exam tip: coterminal angles differ by a multiple of \(2\pi\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{\pi}{3}\) और \(-\frac{5\pi}{3}\)
Why is this the correct answer?
\(\frac{\pi}{3}-(-\frac{5\pi}{3})=2\pi\), so the angles are coterminal and have the same terminal arm. One angle is positive and the other negative, so their rotations are in opposite directions. Exam tip: coterminal angles differ by a multiple of \(2\pi\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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