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函数y=sin(x+π/6)+cosx的最小正周期是
人气:144 ℃ 时间:2019-10-26 03:53:23
解答
y=sin(x+π/6)+cosx
=sinxcosπ/6+cosxsinπ/6+cosx
=sinx*√3/2+cosx*1/2+cosx
=sinx*√3/2+cosx*3/2
=√3(sinx*1/2+cosx*√3/2)
=√3(sinx*cosπ/3+cosx*sinπ/3)
=√3sin(x+π/3)
所以最小正周期是T=2πsinx*是什么意思*是乘号
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