> 数学 >
已知tan(x-y)=2,tan(y+
π
5
)
=3,则tan(x+
π
5
)
=(  )
A. -2
B. 2
C. -1
D. 1
人气:139 ℃ 时间:2020-07-03 05:03:46
解答
由tan(x-y)=2,tan(y+
π
5
)
=3,
则tan(x+
π
5
)=tan[(x-y)+(y+
π
5
)]=
tan(x-y)+tan(y+
π
5
)
1-tan(x-y)tan(y+
π
5
)
=
2+3
1-2+3
=-1

故选C
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