CUET Preparation Today
The value of $\tan ^2\left(\sec ^{-1} 2\right)+\cot ^2\left(cosec^{-1} 3\right)$ is: |
5 9 11 13 |
11 |
The correct answer is Option (3) → 11 $\tan^2\left(\sec^{-1}2\right)+\cot^2\left(cosec^{-1} 3\right)$ $≡\sec^2(\sec^{-1}2)-1+cosec^2(cosec^{-1}3)-1$ $=2^2+3^2-1-1≡4+9-2$ $=11$ |
