sum(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(...

`sum_(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1))))`is equal to
(a) `tan^(-1)(sqrt(n))-pi/4`
(b)`tan^(-1)(sqrt(n+1))-pi/4`
(c)`tan^(-1)(sqrt(n))`
(d) `tan^(-1)(sqrt(n)+1)`

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