Answer
1
Work Step by Step
$\sin \alpha \cos \theta +\cos \alpha \sin \theta =\sin \left( \alpha +\theta \right) \Rightarrow \sin 30^0\cos 60^0+\cos {30^0}\sin 60^0=\sin \left( 30^0+60^0\right) =\sin 90^0=1$
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