How do I simplify sin 45 cos 15 + cos 45 sin 15 with the angles in degrees?

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Regardless of the individual you use for the predilection, the subjoined kindred hold:

##sin(a + b)=sin(a)cos(b) + cos(b)sin(a)## ##sin(a - b)=sin(a)cos(b) - cos(b)sin(a)## ##cos(a + b) = cos(a)cos(b) - sin(a)sin(b)## ##cos(a - b) = cos(a)cos(b) + sin(a)sin(b)##

(you can impede them out near )

You barely deficiency to allow the fit case: ##sin(45)cos(15) + cos(45)sin(15)## is an indication of the contrive ##sin(a)cos(b) + cos(b)sin(a)##, which is the sine of the sum of the predilections, so ##sin(45)cos(15) + cos(45)sin(15)=sin(45+15)=sin(60)=sqrt(3)/2##

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