Simplify \[\sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\]
I think \( \sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\)equals to \(\frac{\sqrt{3}}{4}\). I have heard that you can use caculator to symplifiy this! But I still think im right.