化简:根号下1-cos(2π+θ)/1+cos(2π+θ)+根号下1+cos(2π+θ)/1-cos(2π+θ)( π

来源:学生作业学帮网 编辑:学帮网 时间:2024/06/01 12:06:05

化简:根号下1-cos(2π+θ)/1+cos(2π+θ)+根号下1+cos(2π+θ)/1-cos(2π+θ)( π

√[1-cos(2π+θ)]/[1+cos(2π+θ)]+√[[1+cos(2π+θ)]/[1-cos(2π+θ)]
=√(1-cosθ)/(1+cosθ)+√(1+cosθ)/(1-cosθ)
=√(1-cosθ)^2/(sinθ)^2+√(1+cosθ)^2/(sinθ)^2
=|1-cosθ|/|sinθ|+|1+cosθ|/|sinθ|
=[(1-cosθ)+(1+cosθ)]/(-sinθ)
=-2cscθ