Differentiate the following with respect of `x :(acosx+bsinx+c)/(sinx)`

Explanation

To differentiate the function \( f(x) = \frac{a \cos x + b \sin x + c}{\sin x} \) with respect to \( x \), we will use the quotient rule and the properties of derivatives. Here’s the step-by-step solution:

### Step 1: Rewrite the Function
We start with the function:
\[ f(x) = \frac{a \cos x + b \sin x + c}{\sin x} \]

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