满足条件cos^2(x+pai/6)=3/4的角的集合

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满足条件cos^2(x+pai/6)=3/4的角的集合满足条件cos^2(x+pai/6)=3/4的角的集合满足条件cos^2(x+pai/6)=3/4的角的集合cos²(x+π/6)=3/

满足条件cos^2(x+pai/6)=3/4的角的集合
满足条件cos^2(x+pai/6)=3/4的角的集合

满足条件cos^2(x+pai/6)=3/4的角的集合
cos²(x+π/6)=3/4
cos(x+π/6)=±√3/2
所以x+π/6=2kπ±π/6或x+π/6=2kπ±7π/6
所以x=2kπ-π/3或x=2kπ或x=2kπ+π或x=2kπ-4π/3
所以集合是{x|x=2kπ-π/3或x=2kπ或x=2kπ+π或x=2kπ-4π/3,k∈Z}
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cos²(x+π/6)=3/4
cos(x+π/6)=±√3/2
所以x+π/6=2kπ±π/6或x+π/6=2kπ±7π/6
所以x=2kπ-π/3或x=2kπ或x=2kπ+π或x=2kπ-4π/3 所以集合是{x|x=2kπ-π/3或x=2kπ或x=2kπ+π或x=2kπ-4π/3,k∈Z}