若sin(π/2+α)=cos(π-α),则a的取值集合为

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

若sin(π/2+α)=cos(π-α),则a的取值集合为
根据公式:
sin(π/2+α)=cosα
cos(π-α)=-cosα
因此:
cosα=-cosα
即:cosα=0

α=kπ+π/2,其中k∈Z

若sin(π/2+α)=cos(π-α),那么:
cosα=-cosα
即有:cosα=0
所以角α的取值集合为{α | α=kπ + π/2,k属于Z}

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