解方程根号3sinx-cosx=1

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解方程根号3sinx-cosx=1解方程根号3sinx-cosx=1解方程根号3sinx-cosx=1解√3sinx-cosx=12(sinxcosπ/6-cosxsinπ/6)=12sin(x-π/

解方程根号3sinx-cosx=1
解方程根号3sinx-cosx=1

解方程根号3sinx-cosx=1

√3sinx-cosx=1
2(sinxcosπ/6-cosxsinπ/6)=1
2sin(x-π/6)=1
sin(x-π/6)=1/2
x-π/6=2kπ+π/6,解得x=2kπ+π/3
或x-π/6=2kπ+5π/6,解得x=2kπ+π

x=π/3+2kπ或
x=5π/6+2kπ