sinx+根号3cosx=2
2(sinx/2+根号3cosx/2)=2
sinx/2+根号3cosx/2=1
sinxcosπ/3+cosxsinπ/3=1
sin(x+π/3)=1
所以x+π/3=2kπ+π/2
所以x=2kπ+π/6 其中k为整数
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