若sin(3x+π/4)=1/2,且x∈(0,2π),则x=_____

问题描述:

若sin(3x+π/4)=1/2,且x∈(0,2π),则x=_____

x∈(0,2π)
3x+π/4∈(π/4,25π/4)
sin(3x+π/4)=1/2
那么3x+π/4=5π/6或13π/6或17π/6或25π/6或29π/6或37π/6
所以x=7π/36或23π/36或31π/36或47π/36或55π/36或71π/36