若sin(π/6-α)=1/3 则cos(2π/3+2α)等于多少

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 07:57:33

若sin(π/6-α)=1/3 则cos(2π/3+2α)等于多少
若sin(π/6-α)=1/3 则cos(2π/3+2α)等于多少

若sin(π/6-α)=1/3 则cos(2π/3+2α)等于多少
答案:-7/9
cos(2π/3+2α)=-cos(π-2π/3-2α)
=-cos(π/3-2α)
=-[1-2sin(π/6-α)^2]
=-7/9

7/9