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tan(A+B) = √3.....(1)
and cosec(A-B)= 2......(2)
from ...(1)
we conclude that
A+ B = 60 .. (3) as tan60 = √3
and from...(2)
we get
A-B = 30 ....(4) as cosec30 = 2
add (3) and (4)
we get 2A = 90
A = 45
put this in (3)
we get B= 15
thus the value of A= 45 and B = 15
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