1) Let's make use of Trigonometry to find out the sine of the sum of the angles:
[tex]\sin (x+y)=\sin (x)cos(y)+\cos (y)\sin (x)[/tex]So plugging into that the given values for x and y we have:
[tex]\begin{gathered} \sin (x+y)=\sin (x)cos(y)+\cos (y)\sin (x) \\ \sin (229.5+117.6)=\sin (229.5)cos(117.6)+\cos (117.6)\sin (229.5) \end{gathered}[/tex]So now we can calculate the sin of 229.5º and multiply by the cosine of 117.6 and the cosine of 117.6º times the sine of 229.5º
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