sin²x+2sinx+cosx+3cos²x化简

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sin²x+2sinx+cosx+3cos²x化简
sin²x+2sinx+cosx+3cos²x化简

sin²x+2sinx+cosx+3cos²x化简
sin²x+2sinx*cosx+3cos²x
=1+2sinxcosx+2cos²x
=sin2x+cos2x+2
=√sin(2x+π/4)+2