Q.Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of $16((\sec^{-1}x)^{2} + (\cosec^{-1}x)^{2})$ is:

24\pi^{2}

18\pi^{2}

31\pi^{2}

22\pi^{2}

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of 16((sec⁡−1x)2+(cosec⁡−1x)2)16((\sec^{-1}x)^{2} + (\cosec^{-1}x)^{2})16((sec−1x)2+(cosec−1x)2) is: