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Find the sum cosec^(-1) sqrt10 + cosec^(...

Find the sum `cosec^(-1) sqrt10 + cosec^(-1) sqrt50 + cosec^(-1) sqrt(170) + .... + cosec^(-1) sqrt((n^(2) + 1) (n^(2) + 2n + 2))`

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1) ( n+1) - pi/4 `
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