1.根号3cosa+sina 2.-sina+根号3cosa 3.cosa-根号sina
1.根号3cosa+sina 2.-sina+根号3cosa 3.cosa-根号sina
答案:1 悬赏:10 手机版
解决时间 2021-08-19 01:47
- 提问者网友：太高姿态
- 2021-08-18 16:55
最佳答案
- 五星知识达人网友：春色三分
- 2021-08-18 17:38
1.√3cosa+sina
=2(√3/2•cosa+1/2•sina)
=2[sin(π/3)•cosa+cos(π/3)•sina]
=2sin(π/3+a)
或：√3cosa+sina
=2(√3/2•cosa+1/2•sina)
=2[cos(π/6)•cosa+sin(π/6)•sina]
=2cos(π/6-a)
2.-sina+√3cosa
=√3cosa-sina
=2(√3/2•cosa-1/2•sina)
=2[sin(π/3)•cosa-cos(π/3)•sina]
=2sin(π/3-a)
或：-sina+√3cosa
=√3cosa-sina
=2(√3/2•cosa-1/2•sina)
=2[cos(π/6)•cosa-sin(π/6)•sina]
=2cos(π/6+a)
3.cosa-√3•sina
=2(1/2•cosa-√3/2•sina)
=2[cos(π/3)•cosa-sin(π/3)•sina]
=2 cos(π/3+a)
或cosa-√3•sina
=2(1/2•cosa-√3/2•sina)
=2[sin(π/6)•cosa-cos(π/6)•sina]
=2sin(π/6-a)
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