知道f(sin x/2 )=2+cosx 求f(cos x/2 )

问题描述:

知道f(sin x/2 )=2+cosx 求f(cos x/2 )

f(sin(x/2))=2+cosx=2+(1-2sin²(x/2)=3-2sin²(x/2)
f(cos(x/2)=3-2cos²(x/2)=3-(1+cosx)=2-cosx