Find the values of `sin75^(@)`.

Explanation

To find the value of \( \sin 75^\circ \), we can use the sine addition formula. The sine addition formula states that:

\[ \sin(A + B) = \sin A \cos B + \cos A \sin B \]

### Step 1: Express \( 75^\circ \) as a sum of two angles
We can express \( 75^\circ \) as:
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