$\displaystyle sqrt((cot^2(x))+x^2)$

My attempt-

$\displaystyle sqrt(2cot(x) * (-csc^2x) +2x)

$

Here I believe I have two options.. not sure which one to go with if either..

$\displaystyle sqrt(2cot(x) * (-cot^2x - 1) +2x)

$

or

$\displaystyle sqrt(2cot(x) * (1/sin^2x) +2x) = sqrt(2cosx/sinx * (1/sin^2x)+2x)$

just trying to get it to simplest terms.