已知cos(3π/2-α)=1/3,sin9α+β)=1.求cos(2α+β)的值
问题描述:
已知cos(3π/2-α)=1/3,sin9α+β)=1.求cos(2α+β)的值
已知cos(3π/2 -α)=1/3,sin(α+β)=1.求cos(2α+β)的值
答
cos(3π/2 -α)=1/3
-sina= 1/3
sina= -1/3
sin(α+β)=1
可得cos(α+β)=0
cos(2α+β)=cosa*cos(α+β)-sinasin(α+β)= 1/3