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数学
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求函数y=根号sinx+根号cosx-1/2的定义域
如上
人气:390 ℃ 时间:2019-10-08 22:55:22
解答
由题意得:
sinX≥0,可得2kπ≤x≤2kπ+π,k∈Z
又∵ cosX-1/2≥0
∴ cosX≥1/2
∴ 2kπ-π/3≤x≤2lπ+π/3,k∈Z
综上,函数的定义域为:
[2kπ,2kπ+π/3](k∈Z)
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