When drawn in standard position, which pair of angles has the same initial arm and the same terminal arm?
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Answer and explanation
Correct answer: \(135^\circ,\ 495^\circ\)
Coterminal angles have the same initial and terminal arms, and their measures differ by a whole multiple of \(360^\circ\). Here, \(495^\circ-135^\circ=360^\circ\), so A is correct. In B, the difference is only \(90^\circ\). Exam tip: check the difference first.
Frequently asked questions
What is the correct answer to this question?
\(135^\circ,\ 495^\circ\)
Why is this the correct answer?
Coterminal angles have the same initial and terminal arms, and their measures differ by a whole multiple of \(360^\circ\). Here, \(495^\circ-135^\circ=360^\circ\), so A is correct. In B, the difference is only \(90^\circ\). Exam tip: check the difference first.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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