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anonymous

  • 5 years ago

Convert the rectangular coordinates to polar coordinates with r > 0 and 0 < θ < 2π. (-9, 9)

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  1. anonymous
    • 5 years ago
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    You can use x= R cos t and y = R sin t

  2. amistre64
    • 5 years ago
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    r = 9sqrt(2)

  3. amistre64
    • 5 years ago
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    and its some form of 45 degree angle

  4. amistre64
    • 5 years ago
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    q2

  5. anonymous
    • 5 years ago
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    Find R by: R= sqrt(x^2 + y ^2)

  6. amistre64
    • 5 years ago
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    angle = 135

  7. anonymous
    • 5 years ago
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    I know how to use the formula, but I can't use decimals as the answer.

  8. anonymous
    • 5 years ago
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    I have to put the answer in an x and y format.

  9. amistre64
    • 5 years ago
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    (9sqrt(2), 135) or the radian (3pi/4)

  10. anonymous
    • 5 years ago
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    how do u get this answer?

  11. amistre64
    • 5 years ago
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    been going over spherical and cylindrical coordinates today lol

  12. amistre64
    • 5 years ago
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    well; i notice that both ax and y are the same; the only angle with that is a 45 degree; the hyp of a 45 degree is sqrt(2)

  13. amistre64
    • 5 years ago
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    r = 9 times bigger than sqrt(2) = 9sqrt(2)

  14. anonymous
    • 5 years ago
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    What about this one? (-√21, -√7)

  15. anonymous
    • 5 years ago
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    oh ok

  16. amistre64
    • 5 years ago
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    and the x=- and y=+ tells me its in the Q2

  17. amistre64
    • 5 years ago
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    r = sqrt(28) the x=- and y=- is in the Q3

  18. anonymous
    • 5 years ago
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    sqrt28?

  19. amistre64
    • 5 years ago
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    tan^1(sqrt(7)/sqrt(21)) is the angle

  20. amistre64
    • 5 years ago
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    sqrt(21+7) = sqrt(28) right?

  21. anonymous
    • 5 years ago
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    yeah, where to u get the 7 from?

  22. anonymous
    • 5 years ago
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    or why use the 7

  23. amistre64
    • 5 years ago
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    sqrt(7)^2 = 7

  24. amistre64
    • 5 years ago
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    7*4 = 28 so...2sqrt(7) = r

  25. amistre64
    • 5 years ago
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    tan^-1(sqrt(7)/sqrt(21)) + pi is the angle

  26. amistre64
    • 5 years ago
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    we got 30 +pi :)

  27. anonymous
    • 5 years ago
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    so the y would be 7pi/6

  28. amistre64
    • 5 years ago
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    yes :)

  29. amistre64
    • 5 years ago
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    the angle = 7pi/6

  30. anonymous
    • 5 years ago
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    (-1, 0)

  31. anonymous
    • 5 years ago
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    would it be (sqrt1,0)

  32. amistre64
    • 5 years ago
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    thats facing left.... r = 1; theta = pi

  33. anonymous
    • 5 years ago
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    why does theta = 0

  34. anonymous
    • 5 years ago
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    i mean pi

  35. amistre64
    • 5 years ago
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    it 1 from the origin; so r=1 and its 180 or pi from the pos x axis

  36. amistre64
    • 5 years ago
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    theta doesnt equal 0, the y coord = 0

  37. anonymous
    • 5 years ago
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    the angle = pi

  38. amistre64
    • 5 years ago
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    if we turn by pi and move out by 1 we come to -1,0

  39. anonymous
    • 5 years ago
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    it's (1,pi)

  40. amistre64
    • 5 years ago
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    yes :) 1,pi

  41. anonymous
    • 5 years ago
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    ok, a little change in direction.

  42. anonymous
    • 5 years ago
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    Convert the equation to polar form. 5x=5y

  43. amistre64
    • 5 years ago
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    thats the same as y = x which is r = t cos(pi/4)

  44. amistre64
    • 5 years ago
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    or rather: (r,pi/4) i think

  45. amistre64
    • 5 years ago
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    could be +-r, pi/4

  46. amistre64
    • 5 years ago
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    whats our options for answers?

  47. anonymous
    • 5 years ago
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    pi/4 is wrong, i tried thaat

  48. amistre64
    • 5 years ago
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    y=x is a 45 degree line.... cant be another angle :)

  49. amistre64
    • 5 years ago
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    x = r cos(pi/4) y = r sin(pi/4)

  50. anonymous
    • 5 years ago
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    i'm so confused right now :(

  51. amistre64
    • 5 years ago
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    maybe 5r, but thats rather redundant

  52. amistre64
    • 5 years ago
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    5x = 5y right? 5r cos(pi/4) = 5r sin(pi/4)

  53. amistre64
    • 5 years ago
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    the 5rs can be removed and you get; cos(pi/4)=sin(pi/4)

  54. anonymous
    • 5 years ago
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    is it 5r/sqrt2

  55. amistre64
    • 5 years ago
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    dont know; what formats you got to choose from?

  56. anonymous
    • 5 years ago
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    i have no idea. what formats are there?

  57. amistre64
    • 5 years ago
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    if its multiple choice; then they give you options to choose from....any options to narrow this down with?

  58. anonymous
    • 5 years ago
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    no, no multiple choice.

  59. anonymous
    • 5 years ago
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    here's another example: x^2+y^2=16

  60. amistre64
    • 5 years ago
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    r^2 = 16

  61. anonymous
    • 5 years ago
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    that would be 4. I tried that but it says it's wrong.

  62. amistre64
    • 5 years ago
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    then i got no idea what your program wants as an answer :)

  63. anonymous
    • 5 years ago
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    i got it i had to put it in as r=4

  64. anonymous
    • 5 years ago
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    y=2

  65. amistre64
    • 5 years ago
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    :)

  66. anonymous
    • 5 years ago
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    would it be sqrt2

  67. amistre64
    • 5 years ago
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    y=2 r sin(t) = 2

  68. amistre64
    • 5 years ago
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    r = 2/sin(t) ?

  69. anonymous
    • 5 years ago
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    I don't get it.

  70. anonymous
    • 5 years ago
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    the question is Convert the equation to polar form. y=2

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