If (\theta) and (\phi) are coterminal angles, which expression must be an integer?

Question

Answer and explanation

Correct answer: (\frac{\theta-\phi}{2\pi})

The difference of coterminal angles is (2\pi n), so (\frac{\theta-\phi}{2\pi}) is an integer. In exams, check the difference, not the sum.

What is the correct answer to this question?

(\frac{\theta-\phi}{2\pi})

Why is this the correct answer?

The difference of coterminal angles is (2\pi n), so (\frac{\theta-\phi}{2\pi}) is an integer. In exams, check the difference, not the sum.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.