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If (sin^(-1) a)^(2) +( cos^(-1) b)^(2) ...

If `(sin^(-1) a)^(2) +( cos^(-1) b)^(2) + ( sec^(-1)c)^(2) + ( cosec^(-1) d)^(2) = ( 5pi^(2))/2 "`
then the value of
`" ( sin^(-1)a)^(2) - ( cos^(-1)b) ^(2) + ( sec^(-1)c)^(2) - ( cosec^(-1)d)^(2)` is

A

` - pi^(2)`

B

`- pi^(2)/2`

C

0

D

` pi^(2)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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