((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)的化简

题目

((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)的化简

答案

((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)
=(1+2cos²a-1)/(3sin2a)×2sin²a/cos2a
=4sin²acos²a/3sin2acos2a
=sin²2a/3sin2acos2a
=tan2a/3