作业帮化简:(2cos^2α-1)/[2tan(π/4-α)sin^2(π/4+α)]
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/02 23:41:05
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化简:(2cos^2α-1)/[2tan(π/4-α)sin^2(π/4+α)]
化简:(2cos^2α-1)/[2tan(π/4-α)sin^2(π/4+α)]
化简:(2cos^2α-1)/[2tan(π/4-α)sin^2(π/4+α)]
(2cos^2a-1)/[2tan(45度-a)*sin^2(45度+a)]
=cos2a/[2tan(45度-a)*cos^2(45度-a)]
=cos2a/[2sin(45度-a)*cos(45度-a)]
=cos2a/sin(90度-2a)
=cos2a/cos2a
=1