y=asin(wx+f)的单调区间

y=asin(wx+f)的单调区间
2025-04-11 04:37:49
推荐回答(1个)
回答1:

y=asin(ωx+φ)
y=sinx的单调区间:
2kπ-π/22kπ+π/2∴a>0时:
2kπ-π/2<ωx+φ<2kπ+π/2→(2kπ-π/2-φ)/ω2kπ+π/2<ωx+φ<2kπ+3π/2→(2kπ+π/2-φ)/ω(默认ω>0)
a<0时,正好相反
(2kπ-π/2-φ)/ω(2kπ+π/2-φ)/ω