函数Y=sin（X+45°）-sin（X-45°）,求它的周期,还有它是什么函数（奇偶）.大神们帮帮忙

sin^2(x+45) =sin(x+45)sin(x+45) =sin(x+45)cos(45-x) sin^2(x-45) =sin(x-45)sin(x-45) =-sin(x-45)cos(x+45) =sin(45-x)cos(x+45) sin^2(x+45)-sin^2(x-45) =sin(45+x)cos(45-x)+sin (45-x)cos(45+x) =sin{(x+45)-(45-x)} =sin2x 周期为兀 是奇函数