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anonymous

  • one year ago

if sin theta=3/5 and theta is in quad 2 the exact form of sin (theta+ pi/6) is ..... I had already asked this question but still don't understand it

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  1. butterflydreamer
    • one year ago
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    \[\sin (\theta + \alpha) = \sin \theta \cos \alpha + \sin \alpha \cos \theta\]

  2. butterflydreamer
    • one year ago
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    therefore: \[\sin (\theta + \frac{ \pi }{ 6}) = \sin \theta \cos \frac{ \pi }{ 6 } + \sin \frac{ \pi }{ 6 } \cos \theta\]

  3. butterflydreamer
    • one year ago
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    and then you want to use your exact value table to help you out here since they want the final answer in exact form (this means including radicals) :)

  4. butterflydreamer
    • one year ago
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    |dw:1436542535457:dw| also note: \[\pi/6 = 180/6 = 30\]

  5. anonymous
    • one year ago
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    @butterflydreamer I am working it out but I don't think its right tho

  6. butterflydreamer
    • one year ago
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    you have the right idea :) BUT note that \[\sin \theta = \frac{ 3 }{ 5 } \]

  7. butterflydreamer
    • one year ago
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    hang on give me a minute :)

  8. anonymous
    • one year ago
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    @butterflydreamer I thought I had finally got it :D but then I still got the wrong answer -___-

  9. anonymous
    • one year ago
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    Does it have to do with it being in Quad 2?

  10. butterflydreamer
    • one year ago
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    did you change sin theta = 1/2 to sin theta = 3/5 ?

  11. anonymous
    • one year ago
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    yeah I did that :/

  12. butterflydreamer
    • one year ago
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    oh ALSO! we have to work out what cos theta equals to

  13. anonymous
    • one year ago
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  14. anonymous
    • one year ago
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    so we did change it after

  15. butterflydreamer
    • one year ago
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    hmm what is the final answer? i want to check that i have it right before showing you the way i did it :)

  16. anonymous
    • one year ago
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    do you have any idea about correct answer?

  17. anonymous
    • one year ago
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    The answer i got is .0866025

  18. anonymous
    • one year ago
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    you can find the value of cos theta by formula \[\cos ^{2}=1- \sin ^{2}\theta\]

  19. anonymous
    • one year ago
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    and then simply put all the value in the equation

  20. butterflydreamer
    • one year ago
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    alright, well i've written up my working out. Not 100% sure this is correct but i'll upload it in a bit :)

  21. anonymous
    • one year ago
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    @butterflydreamer theres a way to check it if its right so we'll see :D

  22. anonymous
    • one year ago
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    It didnt upload for some reasn lol

  23. butterflydreamer
    • one year ago
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    waiiit give me a min xD

  24. xapproachesinfinity
    • one year ago
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    -4/5 not - 3/5

  25. butterflydreamer
    • one year ago
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    i know xD my bad http://prntscr.com/7r45nc

  26. xapproachesinfinity
    • one year ago
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    :)

  27. butterflydreamer
    • one year ago
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    do you understand what i did? @shortyyshayy ^_^

  28. anonymous
    • one year ago
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    @butterflydreamer yeah trying it out right now to see if its right so fingers crossed

  29. butterflydreamer
    • one year ago
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    okey dokeyy *crosses fingers*

  30. anonymous
    • one year ago
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    I had the same problem yesterday with this and people tried to help me but no luck and I checked it and still not the correct answer ohmygod Im so annoyed now with this problem lol

  31. butterflydreamer
    • one year ago
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    -.-... sigh. What is the answer "meant" to be then?

  32. anonymous
    • one year ago
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    .901 when you plug it back it in the original equation of sin theta + pi over 6

  33. anonymous
    • one year ago
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    when you plug 3/5 in for theta I mean

  34. butterflydreamer
    • one year ago
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    hmm.. i don't think you can do that because: |dw:1436544628958:dw|

  35. butterflydreamer
    • one year ago
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    so it is the correct answer :) but you would plug in \[\theta = \sin^{-1} (3/5) \] into the equation :)

  36. anonymous
    • one year ago
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    Wait whats the correct answer then? MY heads going to explode XD

  37. anonymous
    • one year ago
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    So checking the work like sin (3/5 + pi/6) is wrong?

  38. butterflydreamer
    • one year ago
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    xD wait... i'm getting confused now LOLLL. well it when i do that, i get a different answer? T_T... I'm pretty sure working out is correct \[\sin( \theta + \frac{ \pi }{ 6 }) = \frac{ 3 \sqrt 3 - 4 }{ 10 }\]

  39. anonymous
    • one year ago
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    can you upload your work again please lol? just so I can use it as a reference lol?

  40. butterflydreamer
    • one year ago
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    sureee,

  41. anonymous
    • one year ago
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    Our professor showed us how to check our answer but your method and my method either of them don't work out XD

  42. butterflydreamer
    • one year ago
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    http://prntscr.com/7r4e4w

  43. butterflydreamer
    • one year ago
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    i know right xD I know that's the answer.. but idk why i can't check it -.-...

  44. anonymous
    • one year ago
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    So are you sure it's correct then cuz I might just put your answer lol? Cuz maybe its the way were both checking it?

  45. butterflydreamer
    • one year ago
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    i think it's correct. I looked at the previous time you uploaded the question, and it's the same answer so xD that's a sign LOL

  46. anonymous
    • one year ago
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    What was the drawing you were showing me above with the inverse?

  47. butterflydreamer
    • one year ago
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    it was me thinking i was onto something (only to fall short) xD don't worry about it because it doesn't work anyway -.-

  48. butterflydreamer
    • one year ago
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    anyways, i'm heading off to bed now (it's 2:27am here) . I HOPE that my working out was correct

  49. anonymous
    • one year ago
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    lmaoo no way? Ohmygod thanks so much for helping me out!! haha night!!

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