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  1. anonymous
    • one year ago
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    axes not aces

  2. anonymous
    • one year ago
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    @nincompoop @Michele_Laino @Nnesha @Luigi0210 @whpalmer4 @uri @jhonyy9 @sleepyjess

  3. anonymous
    • one year ago
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    Man I know how to do this, but not sure how to explain it /:

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

  5. anonymous
    • one year ago
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    Once I have all that, it should look like this: https://www.wolframalpha.com/input/?i=x^7-1%3D0 ?

  6. anonymous
    • one year ago
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    For the bottom graph

  7. anonymous
    • one year ago
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    If you click on approximate form you can get the decimal values.

  8. anonymous
    • one year ago
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    Is it okay if I have help with the graphing?

  9. anonymous
    • one year ago
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    yes

  10. anonymous
    • one year ago
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    there is a picture here http://prntscr.com/7h01sn

  11. anonymous
    • one year ago
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    But it doesn't have the radian values. Is there a way to graph it with the radians there?

  12. anonymous
    • one year ago
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    You mean on your graph? There isn't shown pi/7.

  13. anonymous
    • one year ago
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    The best you can do is estimate where to plot it

  14. anonymous
    • one year ago
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    Okay

  15. anonymous
    • one year ago
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    the first point is (1,0) that is clear

  16. anonymous
    • one year ago
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    then the next point is (cos 2pi/7, sin(2pi/7)) where is the angle 2pi/7 relative to pi/6 and pi/6

  17. anonymous
    • one year ago
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    all the points will be on the unit circle

  18. anonymous
    • one year ago
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    |dw:1434318947436:dw| Would I draw it at the first mini circle in this graph?

  19. anonymous
    • one year ago
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    |dw:1434319023208:dw|

  20. anonymous
    • one year ago
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    The dot is (1,0)?

  21. anonymous
    • one year ago
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    http://prntscr.com/7h04hm

  22. anonymous
    • one year ago
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    okay, thanks

  23. anonymous
    • one year ago
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    The rest are drawn around the 1 area?

  24. anonymous
    • one year ago
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    thats correct. It might be easier to conver the radian angles to degrees 2pi/7 * 180/pi = 51.43 degrees approximately

  25. anonymous
    • one year ago
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    Should I draw a line connecting the dot?

  26. anonymous
    • one year ago
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    pi/4 is 45 degrees pi/3 is 60 degrees So the second point will be between these two angles.

  27. anonymous
    • one year ago
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    52.5 ok

  28. anonymous
    • one year ago
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    I believe we should just plot the points. But if you do connect the points you will get a 7 sided regular polygon, a heptagon.

  29. anonymous
    • one year ago
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    I meant to the center, like wolfram. Do you think that would be fine, or should I leave it be?

  30. anonymous
    • one year ago
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    http://prntscr.com/7h06t4

  31. anonymous
    • one year ago
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    I don't see wolfram plotting to the center, can you show me?

  32. anonymous
    • one year ago
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    There is a line connecting the dots to the center. It's grey.

  33. anonymous
    • one year ago
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    I see it now. Those are optional.

  34. anonymous
    • one year ago
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    The main thing are the points.

  35. anonymous
    • one year ago
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    okay, cool

  36. anonymous
    • one year ago
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    Can you help me with the rest of the points?

  37. anonymous
    • one year ago
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    convert the radian angles to degrees, that might be easier

  38. anonymous
    • one year ago
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    Cool. Thanks for the help! I gave you a medal :)

  39. anonymous
    • one year ago
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    Your welcome :)

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spraguer (Moderator)
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