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anonymous

  • 5 years ago

Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r>0 and one with r<0 A. (2,pi/3) B. (1,-3pi/4) C. (-1, pi/2)

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  1. amistre64
    • 5 years ago
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    2 is a radius distance and cos = x and sin = y

  2. amistre64
    • 5 years ago
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    a) (x = 2cos(60), y = 2sin(60))

  3. anonymous
    • 5 years ago
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    How do you know that cos = x and sin = y?

  4. anonymous
    • 5 years ago
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    And where'd the 60 come from?

  5. amistre64
    • 5 years ago
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    this might help

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  6. anonymous
    • 5 years ago
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    Oh ok thanks. I have that in my notes and I already forgot what it was for. ugh

  7. amistre64
    • 5 years ago
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    cos(t) is defined as x/r therefore x = r cos(t)

  8. amistre64
    • 5 years ago
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    sin(t) = y/r ; y = r sin(t)

  9. amistre64
    • 5 years ago
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    we can convert pi/3 into degrees by multiplying it by 180/pi

  10. amistre64
    • 5 years ago
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    180pi/3pi = 60

  11. anonymous
    • 5 years ago
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    right

  12. anonymous
    • 5 years ago
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    so where does the (2, pi/3) come in?

  13. amistre64
    • 5 years ago
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    cos(60) = 1/2 ; sin(60) = sqrt(3)/2

  14. amistre64
    • 5 years ago
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    2cos(60) = 2(1/2) = 1 ; x = 1 2sin(60) = 2(sqrt(3)/2) = sqrt(3) ; y = sqrt(3)

  15. anonymous
    • 5 years ago
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    why doesn't x = 2 and y = pi/3

  16. amistre64
    • 5 years ago
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    those would be the rectanglular plots for the point. otherwise, you just turn the required degrees and move out the required distance

  17. amistre64
    • 5 years ago
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    since r = 2 and cos(60) = 1/2 2(1/2) = 1

  18. amistre64
    • 5 years ago
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    pi/3 is an angle, not a point.

  19. anonymous
    • 5 years ago
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    right.

  20. amistre64
    • 5 years ago
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    you convert angles to a distance with the trig functions

  21. amistre64
    • 5 years ago
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    polar coordinates can have many names for the same spot...

  22. amistre64
    • 5 years ago
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    you can turn the required degrees, or turn in the opposite direction till you get to the spot, you can rutn 180 degrees less and just walk backwards to get there...etc

  23. amistre64
    • 5 years ago
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    rutn is some stroke version of turn :)

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