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Given, angles A, B, C are in AP
Let first term is a and common difference is d of the AP
Let A = a - d, B = a, C = a + d
Now, A + B + C = 180
=> a - d + a + a + d = 180
=> 3a = 180
=> a = 180/3
=> a = 60
So, B = 60
Now, sin B = sin 60 = √3/2