sin(a)cos(b)=1/2{sin(a+b)+sin(a-b)}/cos(a)sin(b)=1/2{sin(a+b)-sin(a-b)}/cos(a)cos(b)=1/2{cos(a+b)+cos(a-b)}/sin(a)sin(b)=-1/2{cos(a+b)-cos(a-b)}
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