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若函数f(x)=根号3sin(x+fai)-cos(x+fai)(0
人气:401 ℃ 时间:2019-10-31 23:03:46
解答
f(x)=√3sin(x+fai)-cos(x+fai)
=2(√3/2sin(x+fai)-1/2cos(x+fai))
=2(cosπ/6sin(x+fai)-sinπ/6cos(x+fai))
=2sin(x+fai-π/6)
f(x)为奇函数
则f(-x)=2sin(-x+fai-π/6)
=-2sin(x-fai+π/6)
=-f(x)
=-2sin(x+fai-π/6)
x-fai+π/6=x+fai-π/6+2kπ
fai=π/6-2kπ
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