A community for students.
Here's the question you clicked on:
 0 viewing
order
 3 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
order
 3 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

shivam_bhalla
 3 years ago
Best ResponseYou've already chosen the best response.0Remember 1 <= sin x <= 1 Therefore 1 <= cosec x <=1 Now try :)

shivam_bhalla
 3 years ago
Best ResponseYou've already chosen the best response.0One more question. This is your question , right \[cosec x= {1 \over 2 }(x)+1\]

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1I think i solved it

shivam_bhalla
 3 years ago
Best ResponseYou've already chosen the best response.0OK. Just put instead of cosec x , 1/2(x) +1

shivam_bhalla
 3 years ago
Best ResponseYou've already chosen the best response.0Ok @NotSObright , let's see what you have done :P

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1Say 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

order
 3 years ago
Best ResponseYou've already chosen the best response.0So what about the 0.5 and 1?

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1sorry i didn't see that u must show at 0.5 y1<y2 and at 1 y1>y2 u might wanna use a calculator

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1336990897568:dw

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1it is in calculation u need to calculate values at o.5 and 1 to show the inequality

NotSObright
 3 years ago
Best ResponseYou've already chosen the best response.1i have told everything u need go through the conversation and try to use ur intelligence
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.