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skybunnygirl Group Title

(1+cos3t)/(sin3t)+(sin3t)/(1+cos3t)=2csc3t

  • one year ago
  • one year ago

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  1. Hoa Group Title
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    \[\frac{ 1+\cos3t }{ \sin3t }+\frac{ \sin3t }{ 1+\cos3t }= 2\csc3t\] what do you want? prove it?

    • one year ago
  2. skybunnygirl Group Title
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    yes please, im having the hardest time with these questions...

    • one year ago
  3. Hoa Group Title
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    I give you idea, you do the rest. the first part \[\frac{ 1+\cos3t }{ \sin3t }= \frac{ 1 }{ \sin3t }+ \frac{ \cos3t }{ \sin3t }= \csc 3t + \cot 3t\]

    • one year ago
  4. skybunnygirl Group Title
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    ok let me look at it

    • one year ago
  5. skybunnygirl Group Title
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    no go, have no idea what is next

    • one year ago
  6. Zebo Group Title
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    That is pretty much it. You know what cot(x) is equal to? Also what is csc(x) equal to.

    • one year ago
  7. skybunnygirl Group Title
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    cotx=1/tanx

    • one year ago
  8. skybunnygirl Group Title
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    cscx=1/sinx

    • one year ago
  9. Zebo Group Title
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    what else for cotx? there should be one more

    • one year ago
  10. skybunnygirl Group Title
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    cosx/sinx

    • one year ago
  11. Zebo Group Title
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    now look at the first step, do you see something similar to what you said

    • one year ago
  12. skybunnygirl Group Title
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    sorry you lost me...

    • one year ago
  13. Zebo Group Title
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    you said cotx = cosx/sinx and you said cscx=1/sinx right?

    • one year ago
  14. skybunnygirl Group Title
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    yes and that is what we converted into part of the original problem

    • one year ago
  15. Hoa Group Title
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    ok I give you mine : from yours , right side = 2/ sin3t. write it out

    • one year ago
  16. Hoa Group Title
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    now I just prove that left side * sin 2t =2, right? it is easy to do

    • one year ago
  17. Hoa Group Title
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    \[\sin 3t \left[ \frac{ 1 + cost 3t }{ \sin3t } +\frac{ \sin3t }{ 1 + \cos 3t } \right]\]

    • one year ago
  18. Hoa Group Title
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    \[= \frac{ \sin 3t + \cos 3t }{ \sin3t }+ \frac{ \sin^2 3t }{ 1 + \cos 3t }\]

    • one year ago
  19. skybunnygirl Group Title
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    ok, how did we get from csc3t+cot3t+sin3t/1+cos3t to what you writing now?

    • one year ago
  20. Hoa Group Title
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    \[= (\frac{ sint }{ \sin3t }+ \frac{ \sin3tcos3t }{ \sin3t }+ \frac{ 1-\cos^2 3t }{1+\cos 3t })\]

    • one year ago
  21. Hoa Group Title
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    \[=1+ \cos 3t + \frac{ (1+\cos3t)(1-\cos3t) }{ 1+\cos 3t }\]

    • one year ago
  22. Hoa Group Title
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    and then you have 1+1 =2. the proof done. is it clear?

    • one year ago
  23. Hoa Group Title
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    I make the right side2 csc 3t = 2/ sin3t. and then time both sides to sin 3t

    • one year ago
  24. Hoa Group Title
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    do you get mine? think of it. write out and it will make sense to you.

    • one year ago
  25. skybunnygirl Group Title
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    ok let me look at it and see, im still not sure why we did the very first step as we ended up working out the original set up

    • one year ago
  26. Hoa Group Title
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    our goal is prove the original equation is true, that means you must prove the left side = right side. some equation is not true at all, for example : how can you prove 1+1 =3? fortunately, your problem is prove it true, that means it is true already, just explain in which logic, it is true. done

    • one year ago
  27. skybunnygirl Group Title
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    ok, let me work it out on paper and see what I come up with. Thanks for your help.

    • one year ago
  28. Hoa Group Title
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    you are welcome

    • one year ago
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