求sinx*cosx+cosx^2的最大值
求sinx*cosx+cosx^2的最大值
RT
RT
数学人气：682 ℃时间：2020-06-24 17:17:20
优质解答
sinx*cosx+cosx^2=1/2sin2x+1/2(cos2x+1)=1/2(sin2x+cos2x)+1/2=1/2(sin2x+cos(兀/2-(兀/2-2x))+1/2=1/2(sin2x+sin(兀/2-2x))+1/2=1/2*2sin(2x+兀/2-2x)/2cos(2x-兀/2+2x)/2+1/2=sin兀/4cos(2x-兀/4)+1/2=√2/2cos(2...
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