tan(x+π/4)=-1/7求tanx

发布时间:2021-03-16 09:17:07

tan(x+π/4)=-1/7求tanx

网友回答

tan(x+π/4)
=(tanx+tanπ/4)/(1-tanxtanπ/4)
=(tanx+1)/(1-tanx)=-1/7
1-tanx=-7tanx-7
tanx=-4/3
======以下答案可供参考======
供参考答案1:
tan x = -4/3
过程:tan (x+π/4)=(tan x+ tan π/4)/(1-tan x*tanπ/4)
=(tanx+1)/(1-tanx)
=-1/7 所以,tan x =-4/3
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