Find the value of the following trigonometric functions: `sin 765^@`

Explanation

To find the value of \( \sin 765^\circ \), we can follow these steps:

### Step 1: Reduce the angle
First, we need to reduce the angle \( 765^\circ \) to an equivalent angle within the range of \( 0^\circ \) to \( 360^\circ \). We do this by subtracting \( 360^\circ \) until we get an angle in the desired range.

\[ 765^\circ - 360^\circ = 405^\circ \]
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