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数学
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定义在R上的函数f(x)既是偶函数又是周期函数.若f(x)的最小正周期是π,且当x属于0到π/2的并区间时,f(x)=sinX,则f(5π/3)的值为
人气:409 ℃ 时间:2019-08-17 23:49:46
解答
f(x)的周期是π
所以 f(5π/3)=f(5π/3-π)=f(2π/3)=f(2π/3-π)=f(-π/3)
又因为f(x)是偶函数
f(5π/3)=f(-π/3)=f(π/3)=sin(π/3)=√3/2
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