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化简求值 sin(x+3分之派)+2sin(x-3分之派)-根3cos(3分之2派 -x)

来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/06/12 12:50:52
化简求值 sin(x+3分之派)+2sin(x-3分之派)-根3cos(3分之2派 -x)
化简求值 sin(x+3分之派)+2sin(x-3分之派)-根3cos(3分之2派 -x)
sin(x+π/3)+2sin(x-π/3)-√3 cos(2π/3-x) =sin(x+π/3)+2sin(x-π/3)+√3 cos(x+π/3) =[sin(x+π/3)+√3 cos(x+π/3)]+2sin(x-π/3) =2sin(x+2π/3)+2sin(x-π/3) =2sin(π/3-x)+2sin(x-π/3) =0