sin 2x+cos 2x=根号2sin (2x+π/4)怎么得出来的,

问题描述:

sin 2x+cos 2x=根号2sin (2x+π/4)怎么得出来的,

sin 2x+cos 2x
=√2 (sin 2x *√2/2+cos 2x *√2/2)
=√2 (sin 2x *cosπ/4+cos 2x *sinπ/4)
=√2sin (2x+π/4)