What is the fundamental period of (f(x)=\tan\frac{x}{2}+\cot\frac{x}{2})?

Question

Answer and explanation

Correct answer: ( 2\pi )

Both (\tan\frac{x}{2}) and (\cot\frac{x}{2}) have period (2\pi). In exams, use the period of (\tan ax) as ( \frac{\pi}{|a|} ).

What is the correct answer to this question?

( 2\pi )

Why is this the correct answer?

Both (\tan\frac{x}{2}) and (\cot\frac{x}{2}) have period (2\pi). In exams, use the period of (\tan ax) as ( \frac{\pi}{|a|} ).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.