求函数y=根号3sin(2π/5乘以x-π/3)的单调区间

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求函数y=根号3sin(2π/5乘以x-π/3)的单调区间

求函数y=根号3sin(2π/5乘以x-π/3)的单调区间
求函数y=根号3sin(2π/5乘以x-π/3)的单调区间

求函数y=根号3sin(2π/5乘以x-π/3)的单调区间

增:
2kπ-π/2≤(2π/5)x-π/3≤2kπ+π/2
2kπ-π/6≤(2π/5)x≤2kπ+5π/6
5kπ-5π/12≤x≤5kπ+25π/12
增区间 【5kπ-5π/12,5kπ+25π/12】,k∈Z

2kπ+π/2≤(2π/5)x-π/3≤2kπ+3π/2
2kπ+5π/6≤(2π/5)x≤2kπ+11π/6
5kπ+25π/12≤x≤5kπ+55π/12
减区间 【5kπ+25π/12,5kπ+55π/12】,k∈Z