已知sin(30°-α)=1/3,求cos(120°+2α)的值
问题描述:
已知sin(30°-α)=1/3,求cos(120°+2α)的值
答
sin(30°-α)=cos(60°+α)=1/3
cos(120°+2α)
=cos^2(60°+α)- sin^2(60°+α)
=1/9-8/9
=-7/9