求值
求|2+2e^(2πi/5)+e^(6πi/5)|的值。
|2+2e^(2πi/5)+e^(6πi/5)| =|2+2cos(2π/5)+cos(6π/5)+i(2sin(2π/5)+sin(6π/5))| =√[(2+2cos(2π/5)-cos(π/5))^2+(2sin(2π/5)-sin(π/5))^2] =√[9+8cos(2π/5)-8cos(π/5)] =√[9-16sin(3π/10)sin(π/10)] =√(9-16vos36°cos72°) =√[9-(16sin36°cos36°cos72°/sin36°)] =√[9-(4sin144°/sin36°)] =√5。
是不是题的描述有点错误,实在是没太看懂
答:建议上h55和4850能控制成本详情>>
答:详情>>