CUET Preparation Today
CUET
-- Mathematics - Section B1
Inverse Trigonometric Functions
On simplifying $\cot \left(2 \tan ^{-1} x\right)$ where $|x|<1$, we get:
$\frac{1-x^2}{2 x}$
$\frac{2 x}{1-x^2}$
$\frac{1+x^2}{2 x}$
$\frac{2 x}{1+x^2}$
The correct answer is Option (1) → $\frac{1-x^2}{2 x}$