Answer-If sin(x + y) = 3/5 and cos(x - y) = 12/13, where x, y ∈ [0, π/2], find sin(2x) + sin(2y).

Let sinx y 35, so cosx y 45 using sin cos 1. Let cosx - y 1213, so sinx - y 513 using sin cos 1. Use the identity sin2x sin2y 2sinx ycosx - y to find sin2x sin2y 2 35 1213 7265. Correct answer d