计算sin(2k+1)π/4+cos(2k+1)π/4(k∈Z)

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收藏|2020/03/04 13:18

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2020/03/04 13:36

sin(2k+1)π/4+cos(2k+1)π/4=sin(kπ/2+π/4)+cos(kπ/2+π/4)=根号2[cosπ/4 · sin(kπ/2+π/4)+sinπ/4·cos(kπ/2+π/4)]=根号2sin(kπ/2+π/4+π/4)=根号2cos(kπ/2)=0 或-根号2 或根号2

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