(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng

问题描述:

(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng

=√2/2(sin2x*√2/2+cos2x*√2/2)-1/2
=√2/2(sin2xcos45+cos2xsin45)-1/2
=√2/2sin(2x+45)-1/2sin2x*为什么要乘以√2/2而不是1/√2明白了!谢谢!