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Cos B = sa/mi = 4/5
Sin 2B = 2 sin B cos B = 2 (3/5) (4/5) = 24/25
Cos 2B = (cos B)^2 - (sin B)^2 = 16/25 - 9/25 = 7/25
Tan 2B = (sin 2B)/(cos 2B) = (24/25) / (7/25) = 24/7