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anonymous
 one year ago
I'm not sure I understand how to do this. Thanks for the help!
Find all seventh roots of unity and sketch them on the aces below.
http://www.google.com/imgres?imgurl=http%3A%2F%2Fusercontent.enotes.com%2F7c4540d5f581a45d753fc2cff4180d9b3cb69630_thumb.png&imgrefurl=http%3A%2F%2Fwww.enotes.com%2Fhomeworkhelp%2Ffindallseventhrootsunitysketchthemaxes436533&h=287&w=282&tbnid=aGzfxmKJbQW5JM%3A&zoom=1&docid=WUxe1gxLnyuVM&ei=pg55U7atMtOSqAbAgYGIAQ&tbm=isch&client=safari&ved=0CFUQMygBMAE&iact=rc&uact=3&dur=849&page=1&start=0&ndsp=32
anonymous
 one year ago
I'm not sure I understand how to do this. Thanks for the help! Find all seventh roots of unity and sketch them on the aces below. http://www.google.com/imgres?imgurl=http%3A%2F%2Fusercontent.enotes.com%2F7c4540d5f581a45d753fc2cff4180d9b3cb69630_thumb.png&imgrefurl=http%3A%2F%2Fwww.enotes.com%2Fhomeworkhelp%2Ffindallseventhrootsunitysketchthemaxes436533&h=287&w=282&tbnid=aGzfxmKJbQW5JM%3A&zoom=1&docid=WUxe1gxLnyuVM&ei=pg55U7atMtOSqAbAgYGIAQ&tbm=isch&client=safari&ved=0CFUQMygBMAE&iact=rc&uact=3&dur=849&page=1&start=0&ndsp=32

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@nincompoop @Michele_Laino @Nnesha @Luigi0210 @whpalmer4 @uri @jhonyy9 @sleepyjess

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Man I know how to do this, but not sure how to explain it /:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We want to solve the equation \( \large z^7 = 1 \) $$\large{ 1= \cos(2\pi k) + i \sin(2\pi k ), k \in \mathbb Z \\\text {by substitution} \\z^7= \cos(0+2\pi k) + i \sin(0+2\pi k ) \\\text {by demoivres theorem} \\z^7= \cos(2\pi k/7) + i \sin(2\pi k/7 ), k = 0,1,2,3,4,5,6 }$$

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Once I have all that, it should look like this: https://www.wolframalpha.com/input/?i=x^71%3D0 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For the bottom graph

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you click on approximate form you can get the decimal values.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it okay if I have help with the graphing?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is a picture here http://prntscr.com/7h01sn

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But it doesn't have the radian values. Is there a way to graph it with the radians there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You mean on your graph? There isn't shown pi/7.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The best you can do is estimate where to plot it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the first point is (1,0) that is clear

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then the next point is (cos 2pi/7, sin(2pi/7)) where is the angle 2pi/7 relative to pi/6 and pi/6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0all the points will be on the unit circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434318947436:dw Would I draw it at the first mini circle in this graph?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434319023208:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The rest are drawn around the 1 area?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats correct. It might be easier to conver the radian angles to degrees 2pi/7 * 180/pi = 51.43 degrees approximately

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Should I draw a line connecting the dot?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0pi/4 is 45 degrees pi/3 is 60 degrees So the second point will be between these two angles.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I believe we should just plot the points. But if you do connect the points you will get a 7 sided regular polygon, a heptagon.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I meant to the center, like wolfram. Do you think that would be fine, or should I leave it be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't see wolfram plotting to the center, can you show me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There is a line connecting the dots to the center. It's grey.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I see it now. Those are optional.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The main thing are the points.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with the rest of the points?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0convert the radian angles to degrees, that might be easier

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Cool. Thanks for the help! I gave you a medal :)
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