搜搜考试网复数计算（√3i-1)^10+(-√3i-1)^10
来源：学生作业帮 编辑：搜搜考试网作业帮 分类：数学作业 时间：2024/08/06 01:06:34
复数计算
（√3i-1)^10+(-√3i-1)^10
（√3i-1)^10+(-√3i-1)^10
原式=[2^10(-1/2+√3i/2）^10]+2^10[(1/2+√3i/2）^10]
=2^10[cos(2π/3）+isin(2π/3)]^10+2^10[cos(π/3）+isin(π/3)]^10
=1024[cos(20π/3）+isin(20π/3)]+1024[cos(10π/3）+isin(10π/3)]
=1024[cos(2π/3）+isin(2π/3)+1024[cos(4π/3）+isin(4π/3)]
1024(-1/2+√3i/2)+1024(-1/2-√3i/2)
=-1024.
=2^10[cos(2π/3）+isin(2π/3)]^10+2^10[cos(π/3）+isin(π/3)]^10
=1024[cos(20π/3）+isin(20π/3)]+1024[cos(10π/3）+isin(10π/3)]
=1024[cos(2π/3）+isin(2π/3)+1024[cos(4π/3）+isin(4π/3)]
1024(-1/2+√3i/2)+1024(-1/2-√3i/2)
=-1024.
复数计算（√3i-1)^10+(-√3i-1)^10
复数计算（1+√3i)^100+(1-√3i)^100=?
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
复数除法 计算1+i/1-i,1/i,7+i/3+4i （-1+i)(2+i)/-i
计算 复数(1-i)(-4+3i)过程
复数的计算1.i* i^2 * i^3 *.* i^20082.(1+i)^15+(1-i)^15/(1+i)^14-(
复数（1+√3i)/（√3-i）=
复数 (1-√3*i)/(√3+i)²=
复数计算,(1-i)2/i
计算复数√2+√(3i )的模.
复数对数计算log（−1 −√3 i）
复数的三角形式及运算计算（√3/2+(1/2)i)^15怎么算,