Using the Sum, Difference and Cofuntion Identity, how do you solve the problem sin(x+30°)? The answer is 1/2(sqroot 3sinx + cosx) Not sure how the book came up with that answer, Thanks!!

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sin(x + 30) = sinx cos30 + cosx sin 30 by sum formula. = sin x (srt3/2) + cos x (1/2)                subs values in = (srt3/2)(sinx) = (1/2)(cosx)                assoc prop = (1/2)(srt3sinx + cosx)                        factor out 1/2