## Simplifying an expression

can someone explain to me the stages that are missing in the expression in the attached picture. i think that it has to do with identities but in the book that i got it from did not explain clearly how they went from one line to another. i will appreciate the help very much.
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 It uses this identity: $$sin(x)cos(y) = \frac{1}{2}\left(sin(x+y) + sin(x-y)\right)$$ $$x = \theta$$ $$y = \theta - 30^o$$
 thanx very much gnome i thought that i would never get a response