∵cosx= 3 5 ,x∈(? π 2 ,0),∴sinx=- 4 5 ∴tanx=- 4 3 ∴tan2x= 2tanx 1?tan2x = 2×(? 4 3 ) 1?(? 4 3 )2 = 24 7 故答案为: 24 7