已知函数y=Asin(ωx+φ)(A>0,.φ>0,|φ|
问题描述:
已知函数y=Asin(ωx+φ)(A>0,.φ>0,|φ|
答
1.T/2=8-2=6,∴ω=2π/T=2π/6=π/3∵π/3×2+φ=π/2∴φ=-π/6∵A+c=2 -A+c=-4∴A=3 c=-1∴y=3sin(π/3x-π/6)-1由-π/2+2kπ≤π/3x-π/6≤π/2+2kπ/2得,-1+6k≤x≤2+6k∴单调递增区间是[-1+6k,2+6k]...