cos(π-θ)=3/5 求cos2θ

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 09:56:41

cos(π-θ)=3/5 求cos2θ
cos(π-θ)=3/5 求cos2θ

cos(π-θ)=3/5 求cos2θ
解由cos(π-θ)=3/5
得cos(θ)=-3/5
即cos2θ=2cos^2θ-1
=2(-3/5)^2-1
=2×9/25-1
=-7/25

sin(π/6-θ)=﹣3/5,π/6<θ<2π/3,
则cos(π/6-θ)=4/5,
sinθ=sin[π/6 -(π/6-θ)]
= sinπ/6cos(π/6-θ)- cosπ/6 sin(π/6-θ)
=(4+3√3)/10.
cos2θ=1-2 sin²θ=(7-24√3)/50.
满意请采纳。

cos(π-θ)=3/5 ---->-cos θ=3/5 ---->cos θ=-3/5
所以:cos 2θ=2(cos θ)^2-1=2 x 9/25-1=-7/25
望采纳