根号3sin(π/6-a)-cos(π/6-a)

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根号3sin(π/6-a)-cos(π/6-a)
根号3sin(π/6-a)-cos(π/6-a)

根号3sin(π/6-a)-cos(π/6-a)
根号3sin(π/6-a)-cos(π/6-a)
= 2 { 根号3/2 sin(π/6-a) - 1/2 cos(π/6-a) }
= 2 { sin(π/6-a)cosπ/6 - cos(π/6-a)sinπ/6 }
= 2sin(π/6-a-π/6)
= 2sin(-a)
= -2sina

根号3sin(π/6-a)-cos(π/6-a)
=√3[sinπ/6cosa-cosπ/6sina]-[cosπ/6cosa+sinπ/6sina]
=√3/2*cosa-3/2*sina-√3/2*cosa-1/2*sina
=2sina