how to expand Rsin(Ɵ+alpha)?

i thought sin(a+B) = sina cosb + cosa sinb????

if thats true shouldnt it be

rsin Ɵ cos theta + rcosƟ sintheta??

Update:

i meant i got Rsin Ɵ cos(alpha) + RcosƟ sin(alpha)

but the answersR[sin alpha cosƟ + cos alpha sin Ɵ]

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