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The values of $tan^2(sec^{-1}2)+cot^2(cosec^{-1}3),$ is |
5 10 11 15 |
11 |
$tan^2(sec^{-1}2)+cot^2(cosec^{-1}3)$ $= sec^2 (sec^{-1}2) - 1 + cosec^2 (cosec^{-1}3)-1$ $= \begin{Bmatrix}sec(sec^{-1}2)\end{Bmatrix}^2 -1 +\begin{Bmatrix}cosec(cosec^{-1}3)\end{Bmatrix}^2-1$ $=2^2 - 1 + 3^2 - 1 =11$ |
