The value of sum(j=1)^(20)sum(i=1)^(20)t...

The value of `sum_(j=1)^(20)sum_(i=1)^(20)tan^(-1)((i)/(j))` is :

A

`200 pi`

B

`50 pi`

C

`150 pi`

D

`100 pi`

Verified by Experts

The correct Answer is:

D

`sum_(j=1)^(20)sum_(i=1)^(20)tan^(-1)((i)/(j)) = 100 pi`
`tan^(-1)((i)/(j))+tan^(-1)((j)/(i)) =(pi)/2`.

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