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highschoolmom2010

  • 2 years ago

Law of sine question :DD

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  1. highschoolmom2010
    • 2 years ago
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  2. AkashdeepDeb
    • 2 years ago
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    Why do you have a question if you know what the law of sines is?

  3. highschoolmom2010
    • 2 years ago
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    im not sure if i am doing it right

  4. AkashdeepDeb
    • 2 years ago
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    You are!

  5. cwrw238
    • 2 years ago
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    for a triangle ABC a/ sinA = b/sinB = c/sinC

  6. highschoolmom2010
    • 2 years ago
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    |dw:1377962024865:dw| \[\frac{ \sin 80 }{ 17 }=\frac{ \sin Z }{ 14 }\]

  7. highschoolmom2010
    • 2 years ago
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    like that ????

  8. cwrw238
    • 2 years ago
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    yes

  9. highschoolmom2010
    • 2 years ago
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    14(sin 80) = 17(sin 17)

  10. highschoolmom2010
    • 2 years ago
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    \[\frac{ 14 \sin 80 }{ 17 }=\frac{ 17 \sin Z }{ 17 }\]

  11. highschoolmom2010
    • 2 years ago
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    whats where im lost

  12. terenzreignz
    • 2 years ago
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    ^_^ You're actually doing great :) Now, 17 cancels out here: \[\frac{ 14 \sin 80 }{ 17 }=\frac{ \cancel{17} \sin Z }{ \cancel{17} }\]

  13. terenzreignz
    • 2 years ago
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    and we get... \[\Large \sin Z = \frac{14\sin 80^o}{17}\]

  14. highschoolmom2010
    • 2 years ago
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    but i plugged the remaining in calculator and got a crazy answer

  15. terenzreignz
    • 2 years ago
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    What was it? ^_^

  16. highschoolmom2010
    • 2 years ago
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    0.81101814953

  17. highschoolmom2010
    • 2 years ago
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    that cant be right

  18. terenzreignz
    • 2 years ago
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    Ahh... I see. Because what you got was the SINE of the angle Z :) You have to run it through \(\large \sin^{-1}\) to get the angle Z itself ^_^ \[\Large Z = \sin^{-1}\left(\frac{14\sin 80^o}{17}\right)\]

  19. highschoolmom2010
    • 2 years ago
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    oh i forgot to do teh inverse

  20. terenzreignz
    • 2 years ago
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    There's your problem ^_^ I trust it no longer IS a problem? :D

  21. highschoolmom2010
    • 2 years ago
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    let me try that and see what i get '

  22. terenzreignz
    • 2 years ago
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    I'm sure it'll be more... believable... this time around ^_^

  23. highschoolmom2010
    • 2 years ago
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    54.1955269839

  24. terenzreignz
    • 2 years ago
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    More reasonable, don't you think? ^_^

  25. terenzreignz
    • 2 years ago
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    Correct, by the way :D

  26. highschoolmom2010
    • 2 years ago
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    thanks for the clarification :D

  27. terenzreignz
    • 2 years ago
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    No problem ^_^

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