
Yefim S. answered 04/02/22
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sin(A + B) = sinAcosB + cosAsinB; cosA = √1 - 25/169 = 12/13; sinB = √1 - 576/625 = 7/25.
sin(A + B) = - 5/13·(- 24/25) + 12/13·7/25 = 120/325 + 84/325 = 204/325