问题
填空题
已知tan(x+
|
答案
∵tan(x+
)=2,π 4
∴
=2,tanx+1 1-tanx
解得tanx=
;1 3
∴tan2x=
=2tanx 1-tan2x
=2 3 1- 1 9 3 4
∴
=tanx tan2x
=1 3 3 4 4 9
故答案为4 9
已知tan(x+
|
∵tan(x+
)=2,π 4
∴
=2,tanx+1 1-tanx
解得tanx=
;1 3
∴tan2x=
=2tanx 1-tan2x
=2 3 1- 1 9 3 4
∴
=tanx tan2x
=1 3 3 4 4 9
故答案为4 9