Compute the derivative of sin x by first principle.

Explanation

To compute the derivative of \( \sin x \) using the first principle, we will follow these steps:

### Step 1: Define the function
Let \( f(x) = \sin x \).

### Step 2: Use the definition of the derivative
The derivative of a function \( f(x) \) at a point \( x \) is given by:
\[
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