(tan12度-√3)/[2(cos12度)^2-1]sin12度
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(tan12度-√3)/[2(cos12度)^2-1]sin12度
求值
求值
(tan12-√3)/{[2(cos12)^2-1]sin12}
[2(cos12)^2-1]sin12
=[2*(1+cos24)/2-1]sin12
=cos24sin12
tan12-√3
=(sin12-√3cos12)/cos12
=2sin(12-60)/cos12
=-2sin48/cos12
=-4sin24cos24/cos12
=-8sin12cos12cos24/cos12
=-8cos24sin12
所以(tan12-√3)/{[2(cos12)^2-1]sin12}=-8
[2(cos12)^2-1]sin12
=[2*(1+cos24)/2-1]sin12
=cos24sin12
tan12-√3
=(sin12-√3cos12)/cos12
=2sin(12-60)/cos12
=-2sin48/cos12
=-4sin24cos24/cos12
=-8sin12cos12cos24/cos12
=-8cos24sin12
所以(tan12-√3)/{[2(cos12)^2-1]sin12}=-8
(tan12度-√3)/[2(cos12度)^2-1]sin12度
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