偶让校花爱上偶
幼苗
共回答了20个问题采纳率:90% 举报
h(x)=f(x)-g(x)
=cos^2(x+π/3)-0.5-1/2sin(2x+2π/3)
=0.5(2cos^2(x+π/3)-1)-1/2sin(2x+2π/3)
=1/2cos(2x+2π/3)-1/2sin(2x+2π/3)
= √2/2[√2/2cos(2x+2π/3)-√2/2sin(2x+2π/3)]
=√2/2[cosπ/4cos(2x+2π/3)-sinπ/4sin(2x+2π/3)]
=√2/2cos(2x+π/4+2π/3)
=√2/2cos(2x+11π/12)
所以
函数最大值为√2/2,最小值为-√2/2
1年前
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