If x,y are acute angles, where 0 < x + y < 90° and sin(3x - 40°) = cos(3y + 40°), then the value of tan(x + y) is
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sin(2x−20∘)=cos(2y+20∘)sin(2x−20∘)=cos(2y+20∘)
(2x−20∘)+(2y+20∘)=90∘(2x−20∘)+(2y+20∘)=90∘
2(x+y)=90∘2(x+y)=90∘
x+y=45∘x+y=45∘
tan(x+y)=tan45∘=1
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