已知cos(π/6-α)=根号3/3,求cos(5π/6+α)-sin²(-α+7π/6)的值.求详解,

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 19:24:35
已知cos(π/6-α)=根号3/3,求cos(5π/6+α)-sin²(-α+7π/6)的值.求详解,
x){}K57ۨilΧۍumlɘRřyjʆ@ qZ6}~ًulib~ \ & o.X-P]]1@am0D.Dd3"P5:fmR"U1># @!?t

已知cos(π/6-α)=根号3/3,求cos(5π/6+α)-sin²(-α+7π/6)的值.求详解,
已知cos(π/6-α)=根号3/3,求cos(5π/6+α)-sin²(-α+7π/6)的值.求详解,

已知cos(π/6-α)=根号3/3,求cos(5π/6+α)-sin²(-α+7π/6)的值.求详解,

cos(π/6-α)=根号3/3
cos(5π/6+α)-sin²(-α+7π/6)
=cos[π-(π/6-a)]-sin²[π+(π/6-a)]
=-cos(π/6-a)-sin²(π/6-a)
=-√3/3-[1-cos²(π/6-a)]
=-√3/3-(1-1/3)
=-√3/3-2/3