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anonymous

  • one year ago

Which set of polar coordinates describes the same location as the rectangular coordinates (0,-2)? A. (-2,270) B. (2,0) C. (2,180) D. (-2,90)

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  1. jim_thompson5910
    • one year ago
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    |dw:1439171761983:dw|

  2. jim_thompson5910
    • one year ago
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    plot the point (0,-2) on the xy axis system |dw:1439171775217:dw|

  3. jim_thompson5910
    • one year ago
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    how far is this point from the origin?

  4. anonymous
    • one year ago
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    -2?

  5. jim_thompson5910
    • one year ago
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    +2 or just 2

  6. jim_thompson5910
    • one year ago
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    |dw:1439171915517:dw|

  7. jim_thompson5910
    • one year ago
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    distance can't be negative

  8. jim_thompson5910
    • one year ago
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    |dw:1439171941621:dw|

  9. anonymous
    • one year ago
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    So B? (2,0)

  10. jim_thompson5910
    • one year ago
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    what is the angle marked in the drawing |dw:1439172003599:dw|

  11. anonymous
    • one year ago
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    260

  12. jim_thompson5910
    • one year ago
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    270 actually

  13. jim_thompson5910
    • one year ago
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    r = 2 theta = 270 so one possible polar representation is (2,270)

  14. jim_thompson5910
    • one year ago
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    I use the key term "possible" because there are actually infinitely many ways to do this

  15. jim_thompson5910
    • one year ago
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    we can add on multiples of 360 to theta to get other representations

  16. jim_thompson5910
    • one year ago
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    and I did say that the distance can't be negative, but in polar form, r can be negative yeah it's a bit strange, but think of it like this if you had the polar point (-2,90), you would face the 90 degree direction like normal. Instead of walking forward 2 units, you would walk backward 2 units. This is while facing the 90 degree angle. You don't stop facing this direction

  17. jim_thompson5910
    • one year ago
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    |dw:1439172216337:dw|

  18. jim_thompson5910
    • one year ago
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    |dw:1439172238347:dw|

  19. jim_thompson5910
    • one year ago
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    so in terms of polar points, (2,270) = (-2,90)

  20. Loser66
    • one year ago
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    YOu can test the options for a) (-2,270) that is r =-2, theta = 270 and x = r cos theta = -2 * cos (270) =0 y = r sin theta = -2 *sin (270) = -2*(-1) =2 hence it is (0,2) while the given point is (0,-2) therefore, a) is not the correct answer. Do the same with other options until you get (0,-2), the given point.

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