cosX + cosY = 2cos[ (X + Y) / 2 ] cos[ (X - Y) / 2 ]
sinX + sinY = 2sin[ (X + Y) / 2 ] cos[ (X - Y) / 2 ]
cosX - cosY = - 2sin[ (X + Y) / 2 ] sin[ (X - Y) / 2 ]
sinX - sinY = 2cos[ (X + Y) / 2 ] sin[ (X - Y) / 2 ]
Sum/Difference to Product trigonometry identities calculation is handy and helpful to you.
For example, when x = 1º, y = 2º, sin(1) + sin(2) = 0.052352, sin(1) - sin(2) = -0.017447, cos(1) + cos(2) = 1.999239, cos(1) - cos(2) = 0.000457.
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