本世纪最难的三角函数题tanX ÷tan(45-X) =1.5
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本世纪最难的三角函数题tanX ÷tan(45-X) =1.5
本世纪最难的三角函数题
tanX ÷tan(45-X) =1.5
本世纪最难的三角函数题tanX ÷tan(45-X) =1.5
In[1]:= Solve[Tan[x]/Tan[\[Pi]/4 - x] == 1.5, x]
During evaluation of In[1]:= Solve::ifun: Inverse functions are being used by Solve, so some solutions may not be found; use Reduce for complete solution information. >>
Out[1]= {{x -> -2.67795}, {x -> -1.24905}, {x -> 0.463648}, {x ->
1.89255}}
用数学软件解的,出来这么个东西
tan(45-x)=(1-tanx)/(1+tanx)
tanx ÷tan(45-x)=1.5
tanx(1+tanx)/(1-tanx)=3/2
3-3tanx=2tanx+2(tanx)^2
2(tanx)^2+5tanx-3=0
(2tanx-1)(tanx+3)=0
tanx=1/2 x=arctan(1/20
或tanx=-3,x=arctan(-3)