Product to Sum/Difference calculator

Enter u angle in degree:
Enter v angle in degree:
Result

Product to Sum/Difference Formula

cosX cosY = (1/2) [ cos (X - Y) + cos (X + Y) ]

sinX cosY = (1/2) [ sin (X + Y) + sin (X - Y) ]

cosX sinY = (1/2) [ sin (X + Y) - sin[ (X - Y) ]

sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]

For example, when u = 13 º, v = 17 º, sin(13)sin(17) = 0.065769, cos(13)cos(17) = 0.931795, sin(13)cos(17) = 0.215122, cos(13)sin(17) = 0.284878.

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