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Trignometry

Blazing goIITian

Joined: 9 Mar 2008
Post: 555
17 Mar 2009 22:16:01 IST
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inverese from bansal
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cot^-1(1^2+3/4)+cot^-1(2^2+3/4)-------------------upto infinity=tan^-1(2)                     (cot^-1 means cot inverse and similarly for others)

pl prove it

 


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Sahil Gupta's Avatar

Blazing goIITian

Joined: 10 Jun 2007
Posts: 985
17 Mar 2009 22:42:20 IST
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general term is cot-1(n2+3/4) or tan-1(1/ n2+3/4)

Now write n2+3/4 as (n2-1/4)+1

or (n+1/2)(n-1/2) +1

Hence the genral term becomes tan-1(n+1/2) - tan-1(n-1/2)

the answer becomes pi/2 - tan-11/2


Blazing goIITian

Joined: 9 Mar 2008
Posts: 555
17 Mar 2009 23:10:27 IST
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PL EXPLAIN LITTLE BIT MORE

 

 

 

 




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