求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间

求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间
求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间

求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间
y=log2底sin(2x+π/4)有意义
sin(2x+π/4)＞0
单增区间为
2kπ＜2x+π/4＜2kπ+π/2
2kπ-π/4＜2x＜2kπ+π/2-π/4
kπ-π/8＜x＜kπ+π/8
单减区间为
2kπ+π/2＜2x+π/4＜2kπ+π
2kπ+π/2-π/4＜2x＜2kπ+π-π/4
kπ+π/4＜x＜kπ+3π/8