Answer
False.
Work Step by Step
$\sin{(A+B)} = \sin{A} \cos{B} + \cos{A} \sin{B}$
$\sin{(A+B)}\neq \sin{A} + \sin{B}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.