If heta is an angle, which of the following sets represents all angles having the same initial and terminal arms as heta?
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Answer and explanation
Correct answer: \(\theta+2n\pi,\; n\in\mathbb{Z}\)
One complete revolution measures \(2\pi\) radians. Hence, adding or subtracting \(2n\pi\) from \(\theta\) leaves its terminal arm unchanged. Adding \(n\pi\) generally gives the opposite arm. Exam tip: use \(2\pi\) for coterminal angles.
Frequently asked questions
What is the correct answer to this question?
\(\theta+2n\pi,\; n\in\mathbb{Z}\)
Why is this the correct answer?
One complete revolution measures \(2\pi\) radians. Hence, adding or subtracting \(2n\pi\) from \(\theta\) leaves its terminal arm unchanged. Adding \(n\pi\) generally gives the opposite arm. Exam tip: use \(2\pi\) for coterminal angles.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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