cos3/2x*sin3/2x-cos1/2x*sin1/2x
=1/2*sin3x-1/2*sinx
=1/2*(sin3x-sinx)
=1/2*[sin(2x+x)-sin(2x-x)]
=1/2*(sin2xcosx+cos2xsinx-sin2xcosx+cos2xsinx)
=sinxcos2x
cos3/2x*sin3/2x-cos1/2x*sin1/2x
=1/2*sin3x-1/2*sinx
=1/2*(sin3x-sinx)
=1/2*[sin(2x+x)-sin(2x-x)]
=1/2*(sin2xcosx+cos2xsinx-sin2xcosx+cos2xsinx)
=sinxcos2x