y=(sinx+1)(cosx+1)求值域

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y=(sinx+1)(cosx+1)求值域y=(sinx+1)(cosx+1)求值域y=(sinx+1)(cosx+1)求值域y=(sinx+1)(cosx+1)=sinx*cosx+sinx+cos

y=(sinx+1)(cosx+1)求值域
y=(sinx+1)(cosx+1)求值域

y=(sinx+1)(cosx+1)求值域
y=(sinx+1)(cosx+1)=sinx*cosx+sinx+cosx+1=1/2(sinx+cosx)*(sinx+cosx)+(sinx+cosx)+1/2=1/2(sinx+cosx+1)*(sinx+cosx+1)
(sinx+cosx+1)*(sinx+cosx+1)>=0
sinxsinx+cosxcosx>=2sinxcosx得(sinx+cosx)*(sinx+cosx)=