cos2（X/2-7π/8)-cos2（X/2+7π/8)
问题描述：
cos2（X/2-7π/8)-cos2（X/2+7π/8)
提问者：六
答
原式={1+cos[2(x/2-7π/8)]}/2-{1+cos[2(x/2+7π/8)]}/2
=[1+cos(x-7π/4)]/2-[1+cos(x+7π/4)]/2
=1/2[cos(x-7π/4)-cos(x+7π/4)]
=1/2[(cosxcos7π/4+sinxsin7π/4)-(cosxcos7π/4-sinxsin7π/4)]
=sinxsin7π/4
=-√2(sinx)/2