复数计算 (1-根号3i)^10-(1+根号3i)^10=?
来源:学生作业帮助网 编辑:六六作业网 时间:2024/10/07 17:06:59
复数计算(1-根号3i)^10-(1+根号3i)^10=?复数计算(1-根号3i)^10-(1+根号3i)^10=?复数计算(1-根号3i)^10-(1+根号3i)^10=?解析:(1-根号3i)^1
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
解析:
(1-根号3i)^10
=2^10 ×(1/2 -根号3/2 ×i)^10
=2^10 ×[cos(-π/3)+sin(-π/3)×i]^10
=2^10 ×[cos(-10π/3)+sin(-10π/3)×i]
=2^10 ×[cos(2π/3)+sin(2π/3)×i]
=2^10 ×(-1/2+根号3/2×i )
而 (1+根号3i)^10
=2^10 ×(1/2 +根号3/2 ×i)^10
=2^10 ×[cos(π/3)+sin(π/3)×i]^10
=2^10 ×[cos(10π/3)+sin(10π/3)×i]
=2^10 ×[cos(4π/3)+sin(4π/3)×i]
=2^10 ×[-cos(π/3)-sin(π/3)×i]
=2^10 ×(-1/2-根号3/2×i )
所以:
(1-根号3i)^10-(1+根号3i)^10
=2^10 ×(-1/2+根号3/2×i )-2^10 ×(-1/2-根号3/2×i )
=2^10 ×[(-1/2+根号3/2×i )-(-1/2-根号3/2×i )]
=2^10 ×根号3×i
=1024根号3×i
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
复数计算:(1/2+(根号3/2i))^5+(-1/2+(根号3/2i))^3
(2+2i)^4/(1-根号3i)^5复数的计算
计算复数: (3+i) / (1-i)
复数(1+根号3i)/(根号3-i)=?
复数(根号3 -i)/(1+根号3i)=
复数-1-根号3i的幅角主值是
计算复数-1/2+根号3/2i幅角的主值
计算(根号3+根号2i)(-根号3+根号2i)复数
复数计算1/i=?
复数(-1+根号3i)^4/(1-i)^8等于
(1+根号3i)^2=?i是复数
复数(4-3i)^2(1+根号i)^10/(1+i)^12=?
计算 复数(1-i)(-4+3i)过程
复数计算,(1-i)2/i
计算i(1-根号3i
复数(1+根号下3 i)3次方= ?
复数( -1+根号3i)的5次方/1+根号3i的值是