解方程；SinX+Sin2X+Sin3X = 1+CosX+Cos2X.

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解方程；SinX+Sin2X+Sin3X = 1+CosX+Cos2X.
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解方程；SinX+Sin2X+Sin3X = 1+CosX+Cos2X.
解方程；SinX+Sin2X+Sin3X = 1+CosX+Cos2X.

解方程；SinX+Sin2X+Sin3X = 1+CosX+Cos2X.
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sinx+2sinxcosx+3sinx-4(sinx)^3=2(cos)^2+cosx
4sinx-4(sinx)^3=2(cosx)^2+cosx(1-2sinx)
4sinx(cosx)^2=2(cosx)^2+cosx(1-2sinx)
2(cosx)^2(2sinx-1)=cosx(1-2sinx)
cosx(2cosx+1)(1-2sinx)=0
cosx=0 或-1/2 或sinx=1/2 剩下的就好写了

sinx+sin2x+sin3x=1+cosx+cos2x

or, sinx+2sinxcosx+3sinx-4sin 3 x= 1+cosx+cos2x

or, sinx(1+2cosx+3-4sin 2 x) =1+cosx+cos2x

or, sinx(4+2cosx-4+4cos 2

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sinx+sin2x+sin3x=1+cosx+cos2x

or, sinx+2sinxcosx+3sinx-4sin 3 x= 1+cosx+cos2x

or, sinx(1+2cosx+3-4sin 2 x) =1+cosx+cos2x

or, sinx(4+2cosx-4+4cos 2 x )=1+cosx+cos2x

or, 2*sinx(1+cosx+1+2cos 2 x)=1+cosx+cos2x

or,2*sinx(1+cosx+cos2x)=1+cosx+cos2x

or, sinx=.2

so, x=π/6 =30 o

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