sin2x-√3cos2x是怎么变成sin(2x-π⼀3)的?

2025-12-14 09:42:22
推荐回答(1个)
回答1:

sin(2x)-√3cos(2x)
=2[(1/2)sin(2x)-(√3/2)cos(2x)]
=2[sin(2x)cos(π/3)-cos(2x)sin(π/3)]
=2sin(2x-π/3)

用到公式:sinacosb-cosasnb=sin(a-b)