Hi all,

I am having trouble getting the answer to:

[(1-sqrt(3)i)/ (sqrt(3) + i)]^7

where i = complex number

Thanks in advance,

ArTiCk

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- June 11th 2008, 07:03 PMArTiCKcomplex numbers
Hi all,

I am having trouble getting the answer to:

[(1-sqrt(3)i)/ (sqrt(3) + i)]^7

where i = complex number

Thanks in advance,

ArTiCk - June 11th 2008, 07:28 PMmr fantastic
- June 11th 2008, 07:38 PMArTiCK
I have already converted the numbers into polar form...

i have it = e^(-7i*pi/3)/ [e^(7i*pi/6)]

The trouble i have is that i tried converting e^(-7i*pi/3) into Cartesian form as well as the denominator... but i am having trouble with the nominator. What i did was:

e^(-7i*pi/3) = cos(-7*pi/3) + i*sin(-7*pi/3) = cos (-2*pi - pi/3) + i*sin(-2*pi -pi/3) = cos(-pi/3) + i*sin(-pi/3)

I think it is there where i have gone wrong, help would be appreciated

Thanks, ArTiCk - June 11th 2008, 07:52 PMSoroban
Hello, ArTiCK!

Quote:

Simplify: .

. .

So we have: .

- June 11th 2008, 08:08 PMmr fantastic
- June 11th 2008, 08:34 PMSoroban