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Algebra 8 Online
OpenStudy (anonymous):

question from yerstaday complex numbers. Give me five minutes to write all formulas.

OpenStudy (anonymous):

Exercise ~~complex ~~number~~ z=(-1-j)^{4000} ~~solution ~~ z=(\sqrt{2}e ^{j5/4\pi})^{4000}

OpenStudy (anonymous):

\[Exercise ~~complex ~~number~~ z=(-1-j)^{4000} ~~solution ~~ z=(\sqrt{2}e ^{j5/4\pi})^{4000}\]

OpenStudy (anonymous):

My tentative:

OpenStudy (anonymous):

|dw:1420295440708:dw|

OpenStudy (anonymous):

I calculate r

OpenStudy (anonymous):

Now I will do:

OpenStudy (anonymous):

|dw:1420295740523:dw|

OpenStudy (anonymous):

\[c ^{2}=\sqrt{-1^{2}*-1^{2}}=\sqrt{2}\]

OpenStudy (anonymous):

now I will do:

OpenStudy (anonymous):

\tan ^{-1}(\frac{ -1 }{ -1 })=1

OpenStudy (anonymous):

\[\tan ^{-1}(\frac{ -1 }{ -1 })=1\]

OpenStudy (anonymous):

it is right ? how I can continue? I see the unit circle I now the I rumber but I dont understand how I can determinate the degree here in third qudarant.

undeadknight26 (undeadknight26):

Ummmm *out of his curriculum* Ummmm @Compassionate @CaseyCarns @hba @Directrix Some buddy help.

OpenStudy (anonymous):

a ok I send a message to this persons?

OpenStudy (michele_laino):

please note that: \[-1-i=\sqrt{2}e ^{i5 \pi/4}\] since: |dw:1420301318862:dw|

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