Find the general solution of `cot x + tan x = 2 cosec x`

Explanation

To solve the equation \( \cot x + \tan x = 2 \csc x \), we will follow these steps:

### Step 1: Rewrite the trigonometric functions in terms of sine and cosine.
The cotangent and tangent functions can be expressed as:
\[ \cot x = \frac{\cos x}{\sin x}, \quad \tan x = \frac{\sin x}{\cos x}, \quad \csc x = \frac{1}{\sin x} \]
Substituting these into the equation gives:
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