化简函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3要详细的化简过程,谢了

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化简函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3要详细的化简过程,谢了

化简函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3要详细的化简过程,谢了
化简函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3
要详细的化简过程,谢了

化简函数f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3要详细的化简过程,谢了
f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3
=sin(x/2)+√3[1-2sin(x/4)^2]
=sin(x/2)+√3cos(x/2)
=2(cos60sinx/2+sin60cosx/2)
=2sin(x/2+60)
√希望你能看懂,你能明白,赞同

f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3
f(x)=sin(x/2)-根号3(1-cos(x/2))+根号3
f(x)=sin(x/2)+根号3cos(x/2)
f(x)=2sin(x/2+arctan[根号3])
f(x)=2sin(x/2+pai/3)
其中用到公式:asinx+bcosx=根号(a^2+b^...

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f(x)=2sin(x/4)cos(x/4)-2√3sin²(x/4)+√3
f(x)=sin(x/2)-根号3(1-cos(x/2))+根号3
f(x)=sin(x/2)+根号3cos(x/2)
f(x)=2sin(x/2+arctan[根号3])
f(x)=2sin(x/2+pai/3)
其中用到公式:asinx+bcosx=根号(a^2+b^2)sin(x+arctan(b/a))

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