函数y=cos²(x- π/12) + sin²(x+ π/12)-1 的最小正周期是?

日期:2011-01-15 19:01:46 人气:1

函数y=cos²(x- π/12) + sin²(x+ π/12)-1 的最小正周期是?

y=cos²(x-π/12) + sin²(x+π/12)-1 =(1+cos(2x-π/6))/2+(1-cos(2x+π/6))/2-1 = cos(2x-π/6)/2-cos(2x+π/6)/2 =1/2[cos(2x-π/6)- cos(2x+π/6)] =1/2[cos2x cosπ/6+sin2x sinπ/6-( cos2x cosπ&#
    A+
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