作业帮化简 cos(π/6-x)-根号3sin(π/6-x)
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/15 09:08:49
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化简 cos(π/6-x)-根号3sin(π/6-x)
化简 cos(π/6-x)-根号3sin(π/6-x)
化简 cos(π/6-x)-根号3sin(π/6-x)
原式=2[1/2*c0s(π/6-x)-√3/2*sin(π/6-x)]
=2[cos(π/6-x)cosπ/3-sin(π/6-x)sinπ/3]
=2cos(π/6-x+π/3)
=2cos(π/2-x)
=2sinx
原式=2[(1/2)cos(π/6－x)－(√3/2)sin(π/6－x)]
=2[sin(π/6)cos(π/6－x)－cos(π/6)sin(π/6－x)]
=2sin[(π/6)－(π/6－x)]
=2sin(x)
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