Which of the following expressions is equal to \((\sin{60^\circ})(\cos{30^\circ})+(\cos{60^\circ})(\sin{30^\circ})\) ?

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If you know the identity, this problem is straightforward:

$$ \sin{(\alpha + \beta)} = \sin{\alpha}\cos{\beta} + \cos{\alpha}\sin{\beta} $$

You can evaluate the expression with your calculator and compare it with the answer choices.