Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of \(16\left({\left({\sec }^{-1}x\right)}^{2}+{\left({\csc }^{-1}x\right)}^{2}\right)\) is:

[JEE Main 2025, 22 Jan (Shift 1)]

Question

Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of \(16\left({\left({\sec }^{-1}x\right)}^{2}+{\left({\csc }^{-1}x\right)}^{2}\right)\) is:

[JEE Main 2025, 22 Jan (Shift 1)]

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