The value of $sec^2(tan^{-1}2)+cosec^2(cot^{-1}3)$ is :

15 10 5 13

15

The correct answer is Option (1) → 15 $\sec^2(\tan^{-1}2)+cosec^2(\cot^{-1}3)$ $=1+\tan^2(\tan^{-1}2)+1+\cot^2(\cot^{-1}3)$ $=2+2^2+3^2=2+4+9$ $=15$