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anonymous

  • one year ago

Please check my answer. True or false: As long as its argument is restricted to [0, 2pi), the polar from of a complex number is unique. My answer is TRUE.

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  1. jim_thompson5910
    • one year ago
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    |dw:1434249981053:dw|

  2. jim_thompson5910
    • one year ago
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    Let's say we had the polar point (r,theta) = (3,45) |dw:1434250008734:dw|

  3. jim_thompson5910
    • one year ago
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    we can represent that point as (r,theta) = (-3,225) notice how 45+180 = 225 you basically face the 225 degree direction, then walk backwards 3 units to land on the same point |dw:1434250083678:dw|

  4. jim_thompson5910
    • one year ago
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    So (3,45) = (-3,225) in terms of polar points. They represent the same point circled below |dw:1434250197342:dw|

  5. jim_thompson5910
    • one year ago
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    Does that make sense?

  6. anonymous
    • one year ago
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    Thanks @jim_thompson5910 I will be needing that in the future(a few more weeks) :-)

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