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If the maximum value of (sec^-1 x)^2 + (...

If the maximum value of `(sec^-1 x)^2 + (cosec^-1 x)^2` approaches a, the minimum value of `(tan^-1 x)^3 +(cot^-1 x)^3` approaches b then `(a+b/pi)` is equal to

A

`pi^2`

B

`(41pi^2)/32`

C

`pi^2/32`

D

`(43pi^2)/32`

Text Solution

Verified by Experts

The correct Answer is:
B
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