Answer
$\dfrac{\sqrt{2}}{2}$
Work Step by Step
$\sin{\alpha} - \sin{\beta} = 2 \cos{(\dfrac{\alpha+\beta}{2})} \sin{\dfrac{\alpha-\beta}{2})} $
$\sin{75} - \sin{15} = 2 \cos{45} \sin{30} = \dfrac{\sqrt{2}}{2}$
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