y=cosx(sinx-cosx)的周期最值

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y=cosx(sinx-cosx)的周期最值y=cosx(sinx-cosx)的周期最值y=cosx(sinx-cosx)的周期最值y=cosx(sinx-cosx)=(1/2)sin2x-(1/2)

y=cosx(sinx-cosx)的周期最值
y=cosx(sinx-cosx)的周期最值

y=cosx(sinx-cosx)的周期最值
y=cosx(sinx-cosx)
= (1/2)sin2x - (1/2)(cos2x+1)
= (√2/2)sin(2x-π/4) -1/2
周期=π
最值
max = √2/2 -1/2
min =-√2/2 -1/2