Prove that:`cos 570^0sin510^0+sin(-330^0)cos(-390^0)=0`

Explanation

To prove that \( \cos 570^\circ \sin 510^\circ + \sin(-330^\circ) \cos(-390^\circ) = 0 \), we will simplify each term step by step.

### Step 1: Simplify \( \cos 570^\circ \)

To simplify \( \cos 570^\circ \), we can reduce it within the range of \( 0^\circ \) to \( 360^\circ \):

\[
570^\circ - 360^\circ = 210^\circ
...