sin(π/2+α)=cos(π-α),则α的取值集合

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sin(π/2+α)=cos(π-α),则α的取值集合
sin(π/2+α)=cos(π-α),则α的取值集合

sin(π/2+α)=cos(π-α),则α的取值集合
sin(派/2+a)=cos(a) cos(派-a)=-cosa a满足cosa=-cosa即cos(a)=0即可.故a=派/2+k派,k是整数(不好意思,用的手机,无法显示数学符号,希望能读懂)

左边=-cosα
右边=-cosα
α的取值集合是R,实数集

π/2+α=π-α+π/2+2kπ可得α=π/2+kπ

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