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emersonba123

Determine two pairs of polar coordinates for the point (4,-4) with 0° ≤ θ < 360°

  • 10 months ago
  • 10 months ago

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  1. FutureMathProfessor
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    |dw:1370637119764:dw|

    • 10 months ago
  2. FutureMathProfessor
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    So the radius (r coordinate) is sqrt(32) and the first theta coordinate is 315 degrees. add another 360 to that to get a second theta coordinate, with r constant at sqrt(32)

    • 10 months ago
  3. emersonba123
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    You got the sqrt of 32 because r=x^2+y^2. Since it is in the fourth quadrant that's why it is 315 degrees? The answer has to be between 0 and 360 degrees

    • 10 months ago
  4. emersonba123
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    I'm not sure how you got 315 degrees

    • 10 months ago
  5. myininaya
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    @FutureMathProfessor Theta has to be between 0 and 360 degrees so that means there will be one r being positive and one r being negative in another pair of coordinates.

    • 10 months ago
  6. myininaya
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    One pair you found (sqrt(32),315) The other one will have a negative r.

    • 10 months ago
  7. emersonba123
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    (4 , 315°), (-4 , 135°) is this the answer?

    • 10 months ago
  8. emersonba123
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    it shoud say 4sqrt2

    • 10 months ago
  9. myininaya
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    you can simplify sqrt(32) I'm sure. :) But yes.

    • 10 months ago
  10. emersonba123
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    Thank you very much!

    • 10 months ago
  11. myininaya
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    But your r's are wrong and those pairs you gave.

    • 10 months ago
  12. myininaya
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    Oh wait are you saying 4 or 4sqrt2?

    • 10 months ago
  13. emersonba123
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    4sqrt2 in the coordinate for the r

    • 10 months ago
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