If (\theta) and (\frac{5\pi}{2}-\theta) are coterminal and (0<\theta<2\pi) then what is (\theta)?

The difference (\frac{5\pi}{2}-2\theta) must be a multiple of (2\pi). In the given interval (\theta=\frac{\pi}{4}) is suitable.

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

Question

Answer and explanation

Correct answer: (\frac{\pi}{4})

The difference (\frac{5\pi}{2}-2\theta) must be a multiple of (2\pi). In the given interval (\theta=\frac{\pi}{4}) is suitable.

What is the correct answer to this question?

(\frac{\pi}{4})

Why is this the correct answer?

The difference (\frac{5\pi}{2}-2\theta) must be a multiple of (2\pi). In the given interval (\theta=\frac{\pi}{4}) is suitable.

Which subject and chapter does this question cover?

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