Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

skybunnygirl

  • 2 years ago

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

  • This Question is Closed
  1. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  2. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes please, im having the hardest time with these questions...

  3. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I give you idea, you do the rest. the first part \[\frac{ 1+\cos3t }{ \sin3t }= \frac{ 1 }{ \sin3t }+ \frac{ \cos3t }{ \sin3t }= \csc 3t + \cot 3t\]

  4. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok let me look at it

  5. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no go, have no idea what is next

  6. Zebo
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That is pretty much it. You know what cot(x) is equal to? Also what is csc(x) equal to.

  7. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cotx=1/tanx

  8. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cscx=1/sinx

  9. Zebo
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what else for cotx? there should be one more

  10. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cosx/sinx

  11. Zebo
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now look at the first step, do you see something similar to what you said

  12. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry you lost me...

  13. Zebo
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you said cotx = cosx/sinx and you said cscx=1/sinx right?

  14. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes and that is what we converted into part of the original problem

  15. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok I give you mine : from yours , right side = 2/ sin3t. write it out

  16. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now I just prove that left side * sin 2t =2, right? it is easy to do

  17. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sin 3t \left[ \frac{ 1 + cost 3t }{ \sin3t } +\frac{ \sin3t }{ 1 + \cos 3t } \right]\]

  18. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[= \frac{ \sin 3t + \cos 3t }{ \sin3t }+ \frac{ \sin^2 3t }{ 1 + \cos 3t }\]

  19. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, how did we get from csc3t+cot3t+sin3t/1+cos3t to what you writing now?

  20. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[= (\frac{ sint }{ \sin3t }+ \frac{ \sin3tcos3t }{ \sin3t }+ \frac{ 1-\cos^2 3t }{1+\cos 3t })\]

  21. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[=1+ \cos 3t + \frac{ (1+\cos3t)(1-\cos3t) }{ 1+\cos 3t }\]

  22. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and then you have 1+1 =2. the proof done. is it clear?

  23. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I make the right side2 csc 3t = 2/ sin3t. and then time both sides to sin 3t

  24. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you get mine? think of it. write out and it will make sense to you.

  25. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  26. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  27. skybunnygirl
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, let me work it out on paper and see what I come up with. Thanks for your help.

  28. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you are welcome

  29. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.