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OpenStudy (anonymous):
Remember
-1 <= sin x <= 1
Therefore
-1 <= cosec x <=1
Now try :)
OpenStudy (anonymous):
Still not sure..
OpenStudy (anonymous):
One more question. This is your question , right
\[cosec x= {1 \over 2 }(x)+1\]
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
I think i solved it
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OpenStudy (anonymous):
OK. Just put instead of cosec x , 1/2(x) +1
OpenStudy (anonymous):
Ok @NotSObright , let's see what you have done :P
OpenStudy (anonymous):
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
OpenStudy (anonymous):
So what about the 0.5 and 1?
OpenStudy (anonymous):
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
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