Evaluate: `int(sin(x-a))/(sinx)\ dx`

Explanation

To evaluate the integral \( \int \frac{\sin(x-a)}{\sin x} \, dx \), we can use the sine subtraction formula and properties of integrals. Here’s the step-by-step solution:

### Step 1: Apply the Sine Subtraction Formula
Using the sine subtraction formula, we have:
\[ \sin(x-a) = \sin x \cos a - \cos x \sin a \]
Thus, we can rewrite the integral:
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