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OpenStudy (smurfy14):
(sqrt of 3 over 2 + 1 over 2 i)^3
I got i as my answer is that right?
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OpenStudy (anonymous):
did you actually cube it?
OpenStudy (smurfy14):
ya why?
OpenStudy (anonymous):
|dw:1314846268073:dw|
OpenStudy (anonymous):
you are here on the unit circle in the complex plain.
OpenStudy (anonymous):
the angle is either 60 degrees or
\[\frac{\pi}{3}\] depending on whether you are working in degrees or radians. doesn't matter
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OpenStudy (smurfy14):
i dont need to graph it i just want to know if sqrt of 3 over 2 + 1/2i cubed is i
OpenStudy (anonymous):
when you cube this, it is the same as multiplying the angle by 3
OpenStudy (anonymous):
so you end up here |dw:1314846412671:dw|
OpenStudy (anonymous):
right at -1
OpenStudy (smurfy14):
so its not i?
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OpenStudy (anonymous):
oh lord ignore me\!
OpenStudy (anonymous):
you are right. you are at 30 degrees so you end up at i
OpenStudy (anonymous):
must be passed my bed time sorry
OpenStudy (smurfy14):
lol alright thanks! and its no problem
OpenStudy (anonymous):
yes you are not where i said you are here |dw:1314846542938:dw|
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OpenStudy (anonymous):
cube you end up right on top at i
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