If cot x - tan x = 3/2, then what will be the value of cot x + tan x?

3 2 5/2 7/2

5/2

cot x - tan x = \(\frac{3}{2}\)  Using formula , a - \(\frac{1}{a}\)  = A , then a + \(\frac{1}{a}\)  = \(\sqrt { A2 + 4}\) So , cot x + tan x  = \(\sqrt { (3/2)2 + 4}\) = \(\sqrt { \frac{25}{4}}\) = \(\frac{5}{2}\)