解方程:sin(3x-π/3)-cosx=0解方程:sin(3x-π/3)-cosx=0

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解方程:sin(3x-π/3)-cosx=0解方程:sin(3x-π/3)-cosx=0

解方程:sin(3x-π/3)-cosx=0解方程:sin(3x-π/3)-cosx=0
解方程:sin(3x-π/3)-cosx=0
解方程:
sin(3x-π/3)-cosx=0

解方程:sin(3x-π/3)-cosx=0解方程:sin(3x-π/3)-cosx=0
sin(3x-π/3)-cosx=0
sin(3x-π/3)=sin(π/2-x)
3x-π/3=π/2-x+2kπ 或 3x-π/3=π-(π/2-x)+2kπ
4x=2kπ+5π/6 或 2x=2kπ+5π/6
x=kπ/2+5π/24 或 x=kπ+5π/12 (k∈Z)

sin(3x-π/3)=cosx=sin(π/2+x)
则3x-π/3=π/2+x+2kπ
则2x=5π/6+2k
则x=5π/12+kπ