(tan12度-√3)/[2(cos12度)^2-1]sin12度
问题描述:
(tan12度-√3)/[2(cos12度)^2-1]sin12度
求值
答
(tan12-√3)/{[2(cos12)^2-1]sin12}[2(cos12)^2-1]sin12=[2*(1+cos24)/2-1]sin12=cos24sin12tan12-√3=(sin12-√3cos12)/cos12=2sin(12-60)/cos12=-2sin48/cos12=-4sin24cos24/cos12=-8sin12cos12cos24/cos12=-8cos2...