Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

order

  • 2 years ago

cosec x= 1/2 (x)+1 has root 0<x<1/2 pi verify by calculation that this root lies between 0.5 and 1

  • This Question is Closed
  1. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Remember -1 <= sin x <= 1 Therefore -1 <= cosec x <=1 Now try :)

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

    Still not sure..

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

    One more question. This is your question , right \[cosec x= {1 \over 2 }(x)+1\]

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

    Yes

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

    I think i solved it

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

    OK. Just put instead of cosec x , 1/2(x) +1

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

    Ok @NotSObright , let's see what you have done :P

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

    Say y1=1/2x+1 y2=csc(x) y1(0)=1 y1(Pi/2)=Pi/4+1 y2(0)=infinty y2(Pi/2)=1 Since it can be proven using differentiation y1 is inceasing and y2 is decreasing on 0,pi/2 hence in order to attain boundary values graphs must cross each other

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

    So what about the 0.5 and 1?

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

    sorry i didn't see that u must show at 0.5 y1<y2 and at 1 y1>y2 u might wanna use a calculator

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

    But how?

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

    |dw:1336990897568:dw|

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

    in calculation?

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

    it is in calculation u need to calculate values at o.5 and 1 to show the inequality

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

    So, how exactly?

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

    i have told everything u need go through the conversation and try to use ur intelligence

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

    hmm. ok..

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.