Small Silly Doubt ??

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What is the correct graph of \(\large \bf \cot^{-1}x \) ?
GANESH BHAIYA ... help karo na
look at the graph of \(y=\cot x\) |dw:1439968871914:dw|

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reflecting that over line \(y=x\) gives the graph of \(\cot^{-1}x\), yes ?
yes
http://www.intmath.com/blog/mathematics/which-is-the-correct-graph-of-arccot-x-6009
thats what you want to say na !
but i have one doubt ?
Now, i am working on AREAS BETWEEN CURVES The problem is that whenever question ask find the area between the curves including arc(cotx) and something, so there would be 2 graphs of arc(cotx) So,there would be 2 different areas
just rectify my doubt please ? @ganeshie8
your professor must make it clear which graph you should be using
my professor gave me the question already as homework and when i check my answer,my answer would not be there ?
I see your point. The inverse graph when we take \(\cot x\) between \(0\) and \(\pi\) is |dw:1439969325071:dw|
you get a different graph if you take some other interval
Question :- Find the area enclosed b/w y=arc(tanx),y=arc(cotx) and y-axis ?
|dw:1439969571412:dw|
|dw:1439969619035:dw|
|dw:1439969634817:dw|
|dw:1439969661722:dw|
|dw:1439969666996:dw|
|dw:1439969707864:dw|
so obvious, area would be different !
yes, ask your professor which graph he wants the students to use
omg ! for one question,there would be 2 answers ?
Thanks ! @ganeshie8 now i am feeling confident on my answer !
Yes, depends on which part of the trig function you pick for the inverse. we need to agree on the domain/range first before doing the problems...

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