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r u familiar with this formula?
cosc-cosd=2sin(c+d)/2sin(d-c)/2?
here c=A+B and d=A-B

hmmm I'd prefer to use identities. I can't seem find an identity for sin 6x

how about the double angle sin(2x) = 2 sin(x) cos(x)

(c+d)/2=6x
(c-d)/2=3x