已知函数f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)

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已知函数f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)

已知函数f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)
已知函数f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)

已知函数f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)
f(x)=2√3sinx(x+π/4)cos(x+π/4)-sin(2x+π)
=√3*2sinx(x+π/4)cos(x+π/4)-sin(2x+π)
=√3sin(2x+π/2)+sin2x
=√3cos2x+sin2x
=2(1/2*sin2x+√3/2*cos2x)
=2(sin2xcosπ/3+cos2xsinπ/3)
=2sin(2x+π/3)
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