因为y=sinx的单调递减区间是[2kπ+π/2,2kπ+3π/2]
所以y=sin2x的单调递减区间是[kπ+π/4,kπ+3π/4]
所以y=sin(-2x)的单调递减区间是[kπ-3π/4,kπ-π/4]
所以y=sin(π/3-2x)的单调递减区间是[kπ-3π/4-π/3,kπ-π/4-π/3]
也就是
[kπ-1/12π,kπ+5π/12],其中k是整数.
因为y=sinx的单调递减区间是[2kπ+π/2,2kπ+3π/2]
所以y=sin2x的单调递减区间是[kπ+π/4,kπ+3π/4]
所以y=sin(-2x)的单调递减区间是[kπ-3π/4,kπ-π/4]
所以y=sin(π/3-2x)的单调递减区间是[kπ-3π/4-π/3,kπ-π/4-π/3]
也就是
[kπ-1/12π,kπ+5π/12],其中k是整数.