What is the correct relation between 13π/5 and −7π/5?
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Answer and explanation
Correct answer: They are coterminal
Two angles are coterminal when their difference is an integral multiple of 2π. Calculate the difference: 13π/5 − (−7π/5) = 20π/5 = 4π = 2(2π). Since 4π is a whole-number multiple of one complete revolution, both angles have the same terminal side. Hence option D is correct.
Frequently asked questions
What is the correct answer to this question?
They are coterminal
Why is this the correct answer?
Two angles are coterminal when their difference is an integral multiple of 2π. Calculate the difference: 13π/5 − (−7π/5) = 20π/5 = 4π = 2(2π). Since 4π is a whole-number multiple of one complete revolution, both angles have the same terminal side. Hence option D is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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