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2014-12-22
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1.f(x)=cosx·sin(x+π/3)-√3cos²x+√3/4
=sinxcosxcosπ/3+cos²xsinπ/3-√3cos²x+√3/4
=1/4sin2x+√3/4cos2x
=1/2[sin2xcosπ/3+sinπ/3cos2x)]
=1/2sin(2x+π/3)
f(x)的最小正周期:T=2π/2=π
=sinxcosxcosπ/3+cos²xsinπ/3-√3cos²x+√3/4
=1/4sin2x+√3/4cos2x
=1/2[sin2xcosπ/3+sinπ/3cos2x)]
=1/2sin(2x+π/3)
f(x)的最小正周期:T=2π/2=π
更多追问追答
追答
2.x在[-π/4,π/4]
2x-π/6在[-2π/3,π/3]
最大值=√3/4
和最小值=-1/2
追问
等会让我看完过程放心啦我肯定会给的
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