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order
Group Title
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
 2 years ago
 2 years ago
order Group Title
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
 2 years ago
 2 years ago

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

order Group TitleBest ResponseYou've already chosen the best response.0
Still not sure..
 2 years ago

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

NotSObright Group TitleBest ResponseYou've already chosen the best response.1
I think i solved it
 2 years ago

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

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

NotSObright Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

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

NotSObright Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

NotSObright Group TitleBest ResponseYou've already chosen the best response.1
dw:1336990897568:dw
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
in calculation?
 2 years ago

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

order Group TitleBest ResponseYou've already chosen the best response.0
So, how exactly?
 2 years ago

NotSObright Group TitleBest ResponseYou've already chosen the best response.1
i have told everything u need go through the conversation and try to use ur intelligence
 2 years ago
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