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Trigonometryhard
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Given sin⁡(A)+sin⁡(B)=1\sin(A) + \sin(B) = 1sin(A)+sin(B)=1 and cos⁡(A)+cos⁡(B)=3\cos(A) + \cos(B) = \sqrt{3}cos(A)+cos(B)=3​, what is the value of cos⁡(A−B)\cos(A-B)cos(A−B)?