怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1

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怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1怎样把f(x)=sin2x-cos2x+1化

怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1
怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1

怎样把f(x)=sin2x-cos2x+1化成根号2sin(2x-π/4)+1
f(x)=sinx-cos2x+1
=√2(√2/2sinx-√2/2cos2x)+1
=√2sin(2x-π/4)+1

把sin2x-cos2x这一项提根号2。然后就能算出来