已知函数fx=2sin(x+派/6)-2cosx

题目

已知函数fx=2sin(x+派/6)-2cosx

答案

答：
f(x)=2sin(x+π/6)-2cosx
=2(sinxcosπ/6+cosxsinπ/6-cosx)
=2(sinxcosπ/6-cosxsinπ/6)
=2sin(x-π/6)
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