sin2x+cos2x+2如何化简sin2x+cos2x如何化为根号2sin(2x+π/4)?

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sin2x+cos2x+2如何化简
sin2x+cos2x如何化为根号2sin(2x+π/4)?

sin2x+cos2x+2=根号2倍的sin(2x+π/4)+2
sin2x+cos2x=根号2倍的sin(2x+π/4)