(1-tan^2π/12)/(tanπ/12)化简

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(1-tan^2π/12)/(tanπ/12)化简

(1-tan^2π/12)/(tanπ/12)化简
(1-tan^2π/12)/(tanπ/12)化简

(1-tan^2π/12)/(tanπ/12)化简
(1-tan^2π/12)/(tanπ/12)
=2*(1-tan^2π/12)/(2tanπ/12)
=2/(tanπ/6)
=2√3/3

由tan(2x)=2tanx/1-tan^2x得
(tanπ/12)/(1-tan^2π/12)=1/2tan(π/6)=六分之根号三
所以(1-tan^2π/12)/(tanπ/12)=二倍的根号三