The value of (cot x/2 - tan x/2)^2 (1 - 2 tan x cot 2x)

Question

The value of \(\left(cot \frac{x}{2} - tan \frac{x}{2}\right)^2\) (1 - 2 tan x cot 2x) is

A. 1

B. 2

C. 3

D. 4

Answer 1

Correct answer is D.

Given to find the value of \(\left(cot \frac{x}{2} - tan \frac{x}{2}\right)^2\) (1 - 2 tan x cot 2x)

We will solve the expression in two parts,

Now solving 1^st term

If we multiply and divide the term by 2, we get,