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ygarcia Group Title

Find COS 23pi/6?

  • 7 months ago
  • 7 months ago

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  1. nelsonjedi Group Title
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    Do you have a calculator?

    • 7 months ago
  2. ygarcia Group Title
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    no

    • 7 months ago
  3. Abiilovee911 Group Title
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    π=180∘

    • 7 months ago
  4. ygarcia Group Title
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    so I replace pi with 180?

    • 7 months ago
  5. Abiilovee911 Group Title
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    yes

    • 7 months ago
  6. ygarcia Group Title
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    so it'd be 23*pi divided by 6?

    • 7 months ago
  7. Abiilovee911 Group Title
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    exactly (:

    • 7 months ago
  8. ygarcia Group Title
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    thanks :)

    • 7 months ago
  9. Abiilovee911 Group Title
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    welcome (:

    • 7 months ago
  10. ygarcia Group Title
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    Is 12.03 Right?

    • 7 months ago
  11. RolyPoly Group Title
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    cosine of a value cannot be larger than 1...

    • 7 months ago
  12. ygarcia Group Title
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    can you please explain?

    • 7 months ago
  13. RolyPoly Group Title
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    See the graph of cosine:|dw:1389756073553:dw|

    • 7 months ago
  14. ygarcia Group Title
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    yes

    • 7 months ago
  15. RolyPoly Group Title
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    Maximum of a y=cos x function is 1. Minimum of a y=cosx function is -1

    • 7 months ago
  16. ygarcia Group Title
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    so do I need to graph this?

    • 7 months ago
  17. nelsonjedi Group Title
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    |dw:1389756066410:dw|

    • 7 months ago
  18. RolyPoly Group Title
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    So, you cannot have COS 23pi/6 = 12.03

    • 7 months ago
  19. RolyPoly Group Title
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    \[\cos\frac{23\pi}{6} = \cos(3(2\pi) + \frac{5\pi}{6}) = \cos\frac{5\pi}{6} = ...?\]

    • 7 months ago
  20. nelsonjedi Group Title
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    Using the attached drawing where does 23/pi fall?

    • 7 months ago
  21. Lethal Group Title
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    Okay sir's let me tell you that. Cos23pi/6 -2pi will give you the same answer

    • 7 months ago
  22. ygarcia Group Title
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    idk where 23/pi falls

    • 7 months ago
  23. Lethal Group Title
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    Subtract 2pi from it

    • 7 months ago
  24. Lethal Group Title
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    The reason you don't know where it falls is becomes you have to do more than one revolution around the circle

    • 7 months ago
  25. ygarcia Group Title
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    so i subtract 2pi fom 6?

    • 7 months ago
  26. nelsonjedi Group Title
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    2pi = 12pi/6..So 23pi/6-12pi/6 = 11pi/6

    • 7 months ago
  27. Lethal Group Title
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    Okay good.

    • 7 months ago
  28. nelsonjedi Group Title
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    Are you familiar with the unit circle in trigonometry?

    • 7 months ago
  29. Lethal Group Title
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    Now if radians are bothering you we can convert it to degrees.

    • 7 months ago
  30. ygarcia Group Title
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    do i need like a specific calculator for this?

    • 7 months ago
  31. ygarcia Group Title
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    yes Please

    • 7 months ago
  32. Lethal Group Title
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    You could plug this into your calculator, but if this comes up on a test and you can't use one, you will be screwed.

    • 7 months ago
  33. Lethal Group Title
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    11pi/6*180/pi

    • 7 months ago
  34. ygarcia Group Title
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    Can you explain how to do it manually?

    • 7 months ago
  35. Lethal Group Title
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    That gives us 330 degrees

    • 7 months ago
  36. Lethal Group Title
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    Do you know where that is on the unit circle?

    • 7 months ago
  37. Lethal Group Title
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    hint: It's in quadrant IV

    • 7 months ago
  38. ygarcia Group Title
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    yes

    • 7 months ago
  39. Lethal Group Title
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    Okay. tell me the coordinates for it.

    • 7 months ago
  40. ygarcia Group Title
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    sqrt 2/2, -sqrt 2/2

    • 7 months ago
  41. Lethal Group Title
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    Not quite.

    • 7 months ago
  42. Lethal Group Title
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    That would be 315 degrees.

    • 7 months ago
  43. ygarcia Group Title
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    ummm sqrt 3/2 , -1/2

    • 7 months ago
  44. Lethal Group Title
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    yes. sqrt(3)/2, -1/2

    • 7 months ago
  45. Lethal Group Title
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    Okay. You should know that Cosx= x

    • 7 months ago
  46. Lethal Group Title
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    So what is the value for Cos330?

    • 7 months ago
  47. ygarcia Group Title
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    I got -.991...

    • 7 months ago
  48. Lethal Group Title
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    Keep this exact. You just gave me the coordinates. and I just told you CosƟ=x

    • 7 months ago
  49. Lethal Group Title
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    so what is the exact answer?

    • 7 months ago
  50. Lethal Group Title
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    hint: (x,y)

    • 7 months ago
  51. Lethal Group Title
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    Use the coordinates you gave me.

    • 7 months ago
  52. ygarcia Group Title
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    sqrt 3/2 , -1/2

    • 7 months ago
  53. Lethal Group Title
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    Yes and I told you cosƟ=x so what is cos330?

    • 7 months ago
  54. ygarcia Group Title
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    I don't get it /.\ I'm sorry

    • 7 months ago
  55. ygarcia Group Title
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    when I plug in Cos330 it gives me the decimal I gave you

    • 7 months ago
  56. Lethal Group Title
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    |dw:1389757103607:dw|

    • 7 months ago
  57. Lethal Group Title
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    Okay also cosƟ=A/H This is the unit circle and the hypotenuse will always be one so basically cosƟ=H what is Cos330?

    • 7 months ago
  58. Lethal Group Title
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    ygarcia what calculator are you using btw?

    • 7 months ago
  59. ygarcia Group Title
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    I don't have a calculator

    • 7 months ago
  60. Lethal Group Title
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    Okay. Well just finish it. Cos330=A. What is A in that triangle? A for adjacent to theta.

    • 7 months ago
  61. ygarcia Group Title
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    -1/2?

    • 7 months ago
  62. Lethal Group Title
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    |dw:1389757356882:dw|

    • 7 months ago
  63. Lethal Group Title
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    No. Adjacent means next to. So what is next to theta that isn't the hypotenuse. -1/2 is opposite.

    • 7 months ago
  64. ygarcia Group Title
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    sqrt 3/2

    • 7 months ago
  65. Lethal Group Title
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    There you go.

    • 7 months ago
  66. ygarcia Group Title
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    so the solution is sqrt 3/2?

    • 7 months ago
  67. Lethal Group Title
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    cos330=Sqrt(3)/2

    • 7 months ago
  68. Lethal Group Title
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    Yes

    • 7 months ago
  69. Lethal Group Title
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    Now let's see if you learned anything. Tell me the sin330 if you know that sinƟ=y

    • 7 months ago
  70. ygarcia Group Title
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    -1/2

    • 7 months ago
  71. Lethal Group Title
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    Very good. Just use the coordinates you gave me for that degree value. (sqrt(3)/2, -1/2) (x,y) SinƟ=y and the y value for 330 is -1/2 so that's the answer.

    • 7 months ago
  72. ygarcia Group Title
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    So Cos= x value and Sin= y value?

    • 7 months ago
  73. ygarcia Group Title
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    In reference to the circle

    • 7 months ago
  74. Lethal Group Title
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    Yeah. Because in the unit circle the radius is one, that's why it's called a unit circle, one unit. Anytime you have something over 1 It's just whatever the numerator is.

    • 7 months ago
  75. ygarcia Group Title
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    Okay, Thanks SO MUCH!!!! I don't fully get it yet but what you explained to me helped A LOT :)

    • 7 months ago
  76. Lethal Group Title
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    You're welcome.

    • 7 months ago
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