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anonymous

  • one year ago

Find the values of the six trigonometric functions for angle Θ. https://my.dcdal.org/pluginfile.php/3759/question/questiontext/10967/1/5436/1.jpg

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  1. anonymous
    • one year ago
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    anyone? please.

  2. anonymous
    • one year ago
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    I can't access it because it directs me to the log in page of the website.

  3. anonymous
    • one year ago
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    let me try it another way

  4. anonymous
    • one year ago
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    |dw:1438578342154:dw|

  5. anonymous
    • one year ago
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    this is what it looks like

  6. anonymous
    • one year ago
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    i am trying it and i got 0.625 for the sin.

  7. anonymous
    • one year ago
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    How did you get 0.625? What did you do?

  8. anonymous
    • one year ago
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    These are the 6 trigonometric functions btw. |dw:1438578372182:dw|

  9. anonymous
    • one year ago
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    figured up the hypotenuse at 19.2 and then i took the opposite which is 12 and divided it by the hypotenuse.

  10. anonymous
    • one year ago
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    Should your answers be in decimal or fractions?

  11. anonymous
    • one year ago
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    wasn't specified

  12. anonymous
    • one year ago
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    so i just did it in decimals.

  13. anonymous
    • one year ago
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    I'd suggest you'll write in fractions. :)

  14. anonymous
    • one year ago
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    okay so should i convert it over?

  15. anonymous
    • one year ago
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    usually if its not how the computer wants it my teacher fixes it but i can always do it in fractions.

  16. anonymous
    • one year ago
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    You're right that the hypotenuse is 19.2, but let's convert it with radicals :) So the hypotenuse is |dw:1438578691977:dw|

  17. anonymous
    • one year ago
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    okay.

  18. anonymous
    • one year ago
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    It is always easier to convert from fractions to decimals than from decimals to fractions. XD

  19. anonymous
    • one year ago
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    i noticed lol

  20. anonymous
    • one year ago
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    Did you see the image above? About the six trigo functions? Just apply it.

  21. anonymous
    • one year ago
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    yes

  22. anonymous
    • one year ago
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    Let's start with sine. \[\huge sine=\frac{ opposite }{ hypotenuse }\] We know that the opposite=12, adjacent=15, and hypotenuse=3 sqrt 41. So what would sine be?

  23. anonymous
    • one year ago
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    Still there?

  24. anonymous
    • one year ago
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    yeah trying to figure it out

  25. anonymous
    • one year ago
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    Hmmm don't use your calculator. Just plug in the numbers then that's it. Let this be in fraction form.

  26. anonymous
    • one year ago
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    im not using a calculator I'm just that bad at math

  27. anonymous
    • one year ago
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    12/3sqrt41

  28. anonymous
    • one year ago
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    Correct.

  29. anonymous
    • one year ago
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    thats how i do it?

  30. anonymous
    • one year ago
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    that easy?

  31. anonymous
    • one year ago
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    Yes. :)

  32. anonymous
    • one year ago
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    theres no way its that easy

  33. anonymous
    • one year ago
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    But... you need to rationalize it because the denominator is in radical form.

  34. anonymous
    • one year ago
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    so how do i do that?

  35. anonymous
    • one year ago
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    Multiply both the numerator and denominator with the denominator.

  36. anonymous
    • one year ago
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    |dw:1438579262504:dw|

  37. anonymous
    • one year ago
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    Solve it, then that's the sine.

  38. anonymous
    • one year ago
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    I'll help you. :D What is 12 times 3?

  39. anonymous
    • one year ago
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    36

  40. anonymous
    • one year ago
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    sorry, I'm bad when it comes to anything with square roots

  41. anonymous
    • one year ago
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    So the numerator will be 36 sqrt 41.

  42. anonymous
    • one year ago
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    |dw:1438579466792:dw|

  43. anonymous
    • one year ago
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    ok.. now?

  44. anonymous
    • one year ago
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    For the denominator, just remove the radical sign, then multiply.

  45. anonymous
    • one year ago
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    so 9?

  46. anonymous
    • one year ago
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    No. Since we removed the radical sign, it will now be 3 times 41.

  47. anonymous
    • one year ago
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    ok so 123

  48. anonymous
    • one year ago
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    You forgot to multiply the other 3. :)

  49. anonymous
    • one year ago
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    this is so complicated lol

  50. anonymous
    • one year ago
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    |dw:1438579699524:dw|

  51. anonymous
    • one year ago
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    369

  52. anonymous
    • one year ago
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    Yes! :D

  53. anonymous
    • one year ago
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    Then simplify it. |dw:1438579781076:dw|

  54. anonymous
    • one year ago
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    so is that the answer?

  55. anonymous
    • one year ago
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    But we need to simplify it first.

  56. anonymous
    • one year ago
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    lol its never actually done

  57. anonymous
    • one year ago
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    HAHAHA one more step, then that's it; I promise. :D

  58. anonymous
    • one year ago
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    ok.

  59. anonymous
    • one year ago
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    Do you know how to simplify it?

  60. anonymous
    • one year ago
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    no

  61. anonymous
    • one year ago
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    :(

  62. anonymous
    • one year ago
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    Oh so we just need to find all of the factors of the numerator and denominator.

  63. anonymous
    • one year ago
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    Do you know the factor of 36? What do you multiply to get 36?

  64. anonymous
    • one year ago
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    2

  65. anonymous
    • one year ago
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    2 and ?

  66. anonymous
    • one year ago
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    18

  67. anonymous
    • one year ago
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    Great! So what are the numbers you'll multiply to get 18?

  68. anonymous
    • one year ago
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    Do you know the factor tree?

  69. anonymous
    • one year ago
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    i know how to simplify but not with the numerator being a square root

  70. anonymous
    • one year ago
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    Just ignore the square. :D

  71. anonymous
    • one year ago
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    So just simplify 36/369.

  72. anonymous
    • one year ago
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    okay

  73. anonymous
    • one year ago
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    So what's the answer?

  74. anonymous
    • one year ago
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    4/41

  75. anonymous
    • one year ago
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    sorry my laptop was at 1% and it wasn't charging so i was trying to fix that lol

  76. anonymous
    • one year ago
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    Good! So you just need to put back the sq rt of 41 to the numerator, then that's the sine.

  77. anonymous
    • one year ago
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    For cosine, just do what we did in the sine.

  78. anonymous
    • one year ago
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    so 4sqrt41/369?

  79. anonymous
    • one year ago
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    You already simplified it, why did you put back 369? :D

  80. anonymous
    • one year ago
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    i meant 41 I'm losing it lol

  81. anonymous
    • one year ago
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    i was looking back over everything lol

  82. anonymous
    • one year ago
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    Lol yes that's the sine.

  83. anonymous
    • one year ago
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    Now do the cosine.

  84. anonymous
    • one year ago
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    i think i got it from here. i can look back over it all.. thank you :)

  85. anonymous
    • one year ago
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    Sure! Once you did cosine, everything is now easy. Do you know how to get the tan now?

  86. anonymous
    • one year ago
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    What makes it harder is the rationalizing of the radicals, right? :D

  87. anonymous
    • one year ago
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    yes, thank you so much!

  88. anonymous
    • one year ago
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    you're welcome! if you need any help, just tag me.

  89. anonymous
    • one year ago
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    awesome! thanks!

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