If `a` is any real number, the number of roots of `cotx-t a nx=a` in the first quadrant is (are). `2` (b) `0` (c) `1` (d) none of these

Explanation

To solve the equation \( \cot x - \tan x = a \) in the first quadrant, we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \cot x - \tan x = a \]
We know that:
...