求使函数f(x)=cos^2x-2sinx取得最小值、最大值的自变量x的值
人气：264 ℃ 时间：2019-09-12 03:25:27
解答
f(x)=cos^2x-2sinx
=1-(sinx)^2-2sinx
=-(sinx+1)^2+2
sinx=-1时 即X=3π/2+2kπ时 取最大值2
sinx=1时 即X=π/2+2kπ时 取最小值-2
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