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haleyelizabeth2017

  • one year ago

Trig help...again :)

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  1. haleyelizabeth2017
    • one year ago
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    \[2\sin \theta \cos \theta + \sqrt{3} \cos \theta = 0\]

  2. hwyl
    • one year ago
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    make some attempts

  3. haleyelizabeth2017
    • one year ago
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    ..I just need help getting started....I don't like direct answers @hwyl, so I'm not asking for one....

  4. hwyl
    • one year ago
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    like what kind of help to get started? you said "again," so it means you are not doing this for the first time. What part of the problem you don't understand?

  5. haleyelizabeth2017
    • one year ago
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    I meant I'm not doing trig for the first time....this is the first time that I am doing this...

  6. haleyelizabeth2017
    • one year ago
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    Not all of my trig is like this....not much is actually.

  7. hwyl
    • one year ago
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    first, clarify if the second term of the problem is \(\sqrt{3}~cos \theta \) or \(\sqrt{3cos\theta} \)

  8. haleyelizabeth2017
    • one year ago
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    It's what I put...\[\sqrt {3}~ cos \theta\]

  9. hwyl
    • one year ago
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    I want to make sure because people make mistakes putting it in latex form.

  10. haleyelizabeth2017
    • one year ago
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    :)

  11. hwyl
    • one year ago
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    is there anything that is factorable?

  12. haleyelizabeth2017
    • one year ago
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    What do you mean? O.o

  13. hwyl
    • one year ago
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    can you factor the left-hand-side (LHS)?

  14. hwyl
    • one year ago
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    \(ab + bc \rightarrow b(a+c) \)

  15. hwyl
    • one year ago
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    in my own opinion, factoring simplifies and does many wonders.

  16. haleyelizabeth2017
    • one year ago
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    I'm not quite sure how to factor this....

  17. hwyl
    • one year ago
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    well look at the example I showed you look for something common in the first and second term. from what I can see, \(cos ~\theta \)

  18. haleyelizabeth2017
    • one year ago
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    So \[cos (2 sin + \sqrt3)?\]

  19. hwyl
    • one year ago
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    perfect! now complete the form \(ab + bc = 0 \rightarrow b(a+c) = 0 \rightarrow b =0, ~ a+c = 0 \) what we are basically looking for are the values when the curves or lines passes through the x-axis, which we call the ZEROES.

  20. haleyelizabeth2017
    • one year ago
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    so find the values where cos is 0?

  21. haleyelizabeth2017
    • one year ago
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    and where 2 sin + sqrt 3 equal 0?

  22. haleyelizabeth2017
    • one year ago
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    if so, then 2 of them are pi/2 and 3pi/2. How do I find the other ones? I'm not quite sure how to do it with the 2....

  23. hwyl
    • one year ago
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    you're on the right track... you can do on your own

  24. haleyelizabeth2017
    • one year ago
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    Wait! 4pi/3?

  25. haleyelizabeth2017
    • one year ago
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    and 5pi/3?

  26. hwyl
    • one year ago
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    easy peachy, isn't it?

  27. haleyelizabeth2017
    • one year ago
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    yes! thank you!

  28. hwyl
    • one year ago
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    you did well and I think you're just going to need a few algebra techniques to get started.

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