1、f(-x)=sin(-2x+F)
f(x)+f(-x)=0 即：
sin(2x+F)+sin(-2x+F)=0
sin2xcosF+cos2xsinF+sinFcos2x-cosFsin2x=0
2sinFcos2x=0
当sinF=0 时即：F=kπ 时 f(x)是奇函数!
2、f(-x)=sin(-2x+F)
f(x)-f(-x)=0
sin(2x+F)-sin(-2x+F)=0
sin2xcosF+cos2xsinF-sinFcos2x+cosFsin2x=0
2cosFsin2x=0
当cosF=0 时即：F=kπ+π/2 时 f(x)是偶函数!