Question: $\sec^{2}\left( \tan^{- 1}2 \right) + \cos ec^{2}\left( \cot^{- 1}3 \right)$is equal to...

Question

$\sec^{2}\left( \tan^{- 1}2 \right) + \cos ec^{2}\left( \cot^{- 1}3 \right)$ is equal to

Answer 1

The given expression is equal to

$1 + \left\lbrack \tan\left( \tan^{- 1}2 \right) \right\rbrack^{2} + 1 + \left\lbrack \cot\left( \cot^{- 1}3 \right) \right\rbrack^{2}$

= 1+ 4 +1 9 = 15

Question: \(\sec^{2}\left( \tan^{- 1}2 \right) + \cos ec^{2}\left( \cot^{- 1}3 \right)\)is equal to...