cos 2α-1=-2(sinα)^2为什么

2024-12-13 00:52:27
推荐回答(3个)
回答1:

因为cos 2α=1-2(sinα)^2

回答2:

cos2a-1=cos^2a-sin^2a-(sin^2a+cos^2a)=-2sin^2a

回答3:

cos 2α=cos(α+α)=(cosα)^2-(sinα)^2,则cos 2α-1=(cosα)^2-(sinα)^2-[(sinα)^2+(cosα)^2]=-2(sinα)^2