What is (\frac{1+\cos x}{\sin x}) equal to?

Question

Answer and explanation

Correct answer: (\cot \frac{x}{2})

The standard half-angle form is (\cot \frac{x}{2}=\frac{1+\cos x}{\sin x}). Keep the forms of (\tan \frac{x}{2}) and (\cot \frac{x}{2}) separate.

What is the correct answer to this question?

(\cot \frac{x}{2})

Why is this the correct answer?

The standard half-angle form is (\cot \frac{x}{2}=\frac{1+\cos x}{\sin x}). Keep the forms of (\tan \frac{x}{2}) and (\cot \frac{x}{2}) separate.

Which subject and chapter does this question cover?

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