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hannahhaack Group Title

Find the values of the six trigonometric functions of theta: cos θ = 35/37 constraint: tan θ < 0

  • 3 months ago
  • 3 months ago

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  1. hannahhaack Group Title
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    |dw:1401422933563:dw|

    • 3 months ago
  2. dan815 Group Title
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    six trignometric functions?

    • 3 months ago
  3. hannahhaack Group Title
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    yes. sin, tan, sec, cos, cot, csc

    • 3 months ago
  4. dan815 Group Title
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    ok plug into calculator using the inverse buton

    • 3 months ago
  5. hannahhaack Group Title
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    to find all six? Can you baby it down for me haha

    • 3 months ago
  6. dan815 Group Title
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    okay lol

    • 3 months ago
  7. dan815 Group Title
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    so first look at your triangle its 35 in x and -37 in y

    • 3 months ago
  8. dan815 Group Title
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    so enter 35/-37 in your calculator, and then do cos-1 (35/-37)

    • 3 months ago
  9. dan815 Group Title
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    thats a button on your calculator cos inverse

    • 3 months ago
  10. dan815 Group Title
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    do the same for sin and tan

    • 3 months ago
  11. hannahhaack Group Title
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    cos=2.811295299?

    • 3 months ago
  12. dan815 Group Title
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    make sure you are using degree mode

    • 3 months ago
  13. hannahhaack Group Title
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    ok it is now cos=161.0753556

    • 3 months ago
  14. dan815 Group Title
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    that answer is in radians which is fine too if your teacher wants that

    • 3 months ago
  15. dan815 Group Title
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    alright thats one, now do the rest

    • 3 months ago
  16. dan815 Group Title
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    remember that 1/sin= csc 1/cos=sec 1/tan=cot

    • 3 months ago
  17. dan815 Group Title
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    by the way that is not the only solution,

    • 3 months ago
  18. hannahhaack Group Title
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    ya it usually accepts fractions.

    • 3 months ago
  19. dan815 Group Title
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    |dw:1401423483117:dw|

    • 3 months ago
  20. dan815 Group Title
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    it found that angle, but if your teacher is particular on you to only find tht last angle on the bottom

    • 3 months ago
  21. hannahhaack Group Title
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    So i just plugged in -37/\[\sqrt{2594}\]

    • 3 months ago
  22. hannahhaack Group Title
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    is it in quadrant 2 not 4?

    • 3 months ago
  23. dan815 Group Title
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    i dont know its your choice what do you want??

    • 3 months ago
  24. hannahhaack Group Title
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    well the cos is positive and the tan is negative. so wont that be quad 4?

    • 3 months ago
  25. dan815 Group Title
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    yeah

    • 3 months ago
  26. hannahhaack Group Title
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    ok now what would the hypotenus equal?

    • 3 months ago
  27. dan815 Group Title
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    do Pythagorean thm

    • 3 months ago
  28. dan815 Group Title
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    |dw:1401423730828:dw|

    • 3 months ago
  29. dan815 Group Title
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    ok

    • 3 months ago
  30. hannahhaack Group Title
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    i get square root of 2594

    • 3 months ago
  31. hannahhaack Group Title
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    is that right? I might be doing my calcs wrong

    • 3 months ago
  32. dan815 Group Title
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    looks about right

    • 3 months ago
  33. myininaya Group Title
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    |dw:1401423880441:dw|

    • 3 months ago
  34. hannahhaack Group Title
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    so would sin of theta=37/square root of 2594

    • 3 months ago
  35. dan815 Group Title
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    the hypotenuse should be roughly sqrt2*36

    • 3 months ago
  36. hannahhaack Group Title
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    it says it is wrong

    • 3 months ago
  37. hannahhaack Group Title
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    square root of 36?

    • 3 months ago
  38. dan815 Group Title
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    its -37

    • 3 months ago
  39. dan815 Group Title
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    no nvm that, its just an approximation i dont have calc

    • 3 months ago
  40. myininaya Group Title
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    cos is adj/hyp you labeled the initial triangle a bit wrong

    • 3 months ago
  41. dan815 Group Title
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    okay do it over

    • 3 months ago
  42. hannahhaack Group Title
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    can you show me the right triangle?

    • 3 months ago
  43. dan815 Group Title
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    |dw:1401424044893:dw|

    • 3 months ago
  44. myininaya Group Title
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    good

    • 3 months ago
  45. myininaya Group Title
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    now find the opp measurement of the angle theta |dw:1401424168943:dw|

    • 3 months ago
  46. hannahhaack Group Title
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    and how did you get that?

    • 3 months ago
  47. myininaya Group Title
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    use the theorem we talked about last question

    • 3 months ago
  48. myininaya Group Title
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    you are given cos is 35/37

    • 3 months ago
  49. hannahhaack Group Title
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    right right right. got it

    • 3 months ago
  50. hannahhaack Group Title
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    none of those are negative?

    • 3 months ago
  51. myininaya Group Title
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    right cos is positive not negative

    • 3 months ago
  52. myininaya Group Title
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    sin is negative

    • 3 months ago
  53. myininaya Group Title
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    so you will definitely get a negative number for that opp measurement to theta

    • 3 months ago
  54. hannahhaack Group Title
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    i got 12

    • 3 months ago
  55. myininaya Group Title
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    and it should really be -12

    • 3 months ago
  56. hannahhaack Group Title
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    35^2+b^2=37^2

    • 3 months ago
  57. hannahhaack Group Title
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    b^2=144 b=12?

    • 3 months ago
  58. myininaya Group Title
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    or b=-12 we will go with b=-12 because we were given cos is + tan is - which makes sin -

    • 3 months ago
  59. hannahhaack Group Title
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    ok. so sin =-12/37

    • 3 months ago
  60. myininaya Group Title
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    |dw:1401424409906:dw| that symbolizes the triangle is to the right of zero but below 0 (that is talking about the signs)

    • 3 months ago
  61. myininaya Group Title
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    and yes

    • 3 months ago
  62. hannahhaack Group Title
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    that clarifies completely. what about this one? tan θ is undefined. constraint: π ≤ θ ≤ 2π

    • 3 months ago
  63. hannahhaack Group Title
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    find the six.

    • 3 months ago
  64. dan815 Group Title
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    remember tan theta = sin theta/costheta so its undefin when cos theta= 0 which is at?

    • 3 months ago
  65. hannahhaack Group Title
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    so each one would be undefined?

    • 3 months ago
  66. dan815 Group Title
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    no just the tan and the cot

    • 3 months ago
  67. dan815 Group Title
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    well atually no cot is fine

    • 3 months ago
  68. hannahhaack Group Title
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    how do i find the rest?

    • 3 months ago
  69. dan815 Group Title
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    have to first find this

    • 3 months ago
  70. dan815 Group Title
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    tan theta= sin theta/cos theta => undefined when denominator =0 where cos theta =0

    • 3 months ago
  71. dan815 Group Title
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    solve for cos theta = 0 , when theta is in that given interval pi to 2pi

    • 3 months ago
  72. hannahhaack Group Title
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    would it be 2pi/pi?

    • 3 months ago
  73. dan815 Group Title
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    no

    • 3 months ago
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