Simplify
\[\sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify
\[\sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{\sqrt{3}}{4}
Simplify
\[\sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\]
train