函数y=cos(2x+3π)·sin(2x-π)的周期为

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函数y=cos(2x+3π)·sin(2x-π)的周期为

函数y=cos(2x+3π)·sin(2x-π)的周期为
函数y=cos(2x+3π)·sin(2x-π)的周期为

函数y=cos(2x+3π)·sin(2x-π)的周期为

y=cos(2x+3π)·sin(2x-π)
=-cos2x*(-sin2x)
=1/2sin4x
周期T=2π/4=π/2

y=cos(2x+3π)sin(2x-π)
=-cos(2x)[-sin(2x)]
=cos(2x)sin(2x)
=(1/2)sin(4x)

最小正周期Tmin=2π/4=π/2

y=cos(2x+3π)·sin(2x-π)=(-cos2x)(-sin2x)=1/2sin4x
函数y=cos(2x+3π)·sin(2x-π)的周期为2π/4=π/2