f(x)=sin x +cos x +sin x * cos x ,求值域
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f(x)=sin x +cos x +sin x * cos x ,求值域
f(x)=sin x +cos x +sin x * cos x ,求值域
f(x)=sin x +cos x +sin x * cos x ,求值域
f(x)=sinx+cosx+sinxcosx=(sinx+cosx)+[(sinx+cosx)^2-1]/2
sinx+cosx=√2sin(x+45)
f(x)=[sin(x+45)]^2+√2sin(x+45)-1/2
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f(x)最大=(2+√2)^2/4-1=1/2+√2
最小=1/2-√2
f(x)=sin x +cos x +sin x * cos x ,求值域
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