If 2cos(B+A)= 2sin(B-A)=1then B is
degree
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45degree,15degree
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a=45° b=15°
2cos(A+B)=1
cos(A+B)=1/2
cos(A+B)=cos60∘
A+B=60∘.......... (1)
2sin(A−B)=1
sin(A−B)=1/2
sin(A−B)=sin30∘
A−B=30∘ ........ (2)
Adding (1) and (2),
2A=90∘
A=45∘
From (1),
B=60∘ −A
=60∘-45∘ =15∘
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