zuoyong1
幼苗
共回答了15个问题采纳率:86.7% 举报
y=2×cos x ×sin(x+派/3)-√3×sin^2 x+sinx×cosx
=2×cos x×(sinxcos派/3+cosxsin派/3)-√3×sin^2 x+sinx×cosx
=2sinxcosx+√3(cos^2x-sin^2x)
=sin2x+√3cos2x=2sin(2x+60)
所以函数的最小正周期 π
当2X+60=2Kπ+π/2时,取最大值2,即X=kπ+π/12
当2X+60=2Kπ+3π/2时,取最小值-2,即X=kπ+7π/12
递增区间即在2Kπ-π/2=
1年前
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