If x, y are acute angles, 0 < x + y < 90° and sin (2x-200) = cos (2y + 20°), then the value of tan (x + y) is
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sin(2x-200)=cos(2y+20)
or,sin(2x-200)=sin{90-(2x-200)}[since sinA=cos(90-A)]
therefore,90-(2x-200)=2y+20
or,x+y=135
or,tan(x+y)=tan135=1
or,sin(2x-200)=sin{90-(2x-200)}[since sinA=cos(90-A)]
therefore,90-(2x-200)=2y+20
or,x+y=135
or,tan(x+y)=tan135=1
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