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Trigonometryhard
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Given cos⁡(A)=3/5\cos(A) = 3/5cos(A)=3/5 and cos⁡(B)=5/13\cos(B) = 5/13cos(B)=5/13 with 0<A,B<π/20 < A, B < \pi/20<A,B<π/2, what is the exact value of cos⁡(A−B)\cos(A-B)cos(A−B)?