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if cosec-1 x + cosec -1 y + cosec -1 z = 3 / 2. find the value of x y + y z + z x .
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max value that the function cosec-1 can take is pi/2
here we have sum of 3 such functions = 3pi/2 which means all three = pi/2 or cosec-1x = cosec-1y = cosec-1z = pi/2 or x = y = z = 1
this gives xy + yz + zx = 3
Option A
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