We know that sin 3x = 3 sin x - 4 (sin x)^3
Now sin B is given as 1/4.
sin 3B = 3 sin B - 4(sin B)^3
=> 3* (1/4) - 4(1/4)^3
=> 3/4 - 1/16
=> (12 - 1)/16
=> 11/16
Therefore sin 3B = 11/16
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