JEE Math Practice Question
Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of $16\left(\left(\sec ^{-1} x\right)^2+\left(\operatorname{cosec}^{-1} x\right)^2\right)$ is :
- A.$24 \pi^2$
- B.$18 \pi^2$
- C.$22 \pi^2$
- D.$31 \pi^2$
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