`sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3)` is equal toA. 5B. 13C. 15D. 6

`sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3)` is equal toA. 5B. 13C.

1.	`sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3)` is equal toA. 5B. 13C. 15D. 6
Answer» Correct Answer - C Let `tan^(-1) 2 = alpha " or " tan alpha = 2` and `cot^(-1) 3 = beta " or " cot beta = 3` `sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3)` `= sec^(2) alpha + cosec^(2) beta` `= 1 + tan^(2) alpha + 1 + cot^(2) beta` `= 2 + (2)^(2) + (3)^(2) = 15`

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