## mayankdevnani one year ago Small Silly Doubt ??

1. mayankdevnani

What is the correct graph of $$\large \bf \cot^{-1}x$$ ?

2. mayankdevnani

GANESH BHAIYA ... help karo na

3. ganeshie8

look at the graph of $$y=\cot x$$ |dw:1439968871914:dw|

4. ganeshie8

reflecting that over line $$y=x$$ gives the graph of $$\cot^{-1}x$$, yes ?

5. mayankdevnani

yes

6. mayankdevnani
7. mayankdevnani

thats what you want to say na !

8. mayankdevnani

but i have one doubt ?

9. mayankdevnani

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

10. mayankdevnani

just rectify my doubt please ? @ganeshie8

11. ganeshie8

your professor must make it clear which graph you should be using

12. mayankdevnani

my professor gave me the question already as homework and when i check my answer,my answer would not be there ?

13. ganeshie8

I see your point. The inverse graph when we take $$\cot x$$ between $$0$$ and $$\pi$$ is |dw:1439969325071:dw|

14. ganeshie8

you get a different graph if you take some other interval

15. mayankdevnani

Question :- Find the area enclosed b/w y=arc(tanx),y=arc(cotx) and y-axis ?

16. mayankdevnani

|dw:1439969571412:dw|

17. mayankdevnani

|dw:1439969619035:dw|

18. mayankdevnani

|dw:1439969634817:dw|

19. mayankdevnani

|dw:1439969661722:dw|

20. mayankdevnani

|dw:1439969666996:dw|

21. mayankdevnani

|dw:1439969707864:dw|

22. mayankdevnani

so obvious, area would be different !

23. mayankdevnani

@ganeshie8

24. ganeshie8

yes, ask your professor which graph he wants the students to use

25. mayankdevnani

omg ! for one question,there would be 2 answers ?

26. mayankdevnani

Thanks ! @ganeshie8 now i am feeling confident on my answer !

27. ganeshie8

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...