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The probability that sin^(-1)(sin x)+cos...

The probability that `sin^(-1)(sin x)+cos^(-1)(cos y)` is an integer `x, y in (1,2,3,4)`,is

A

`1/16`

B

`3/16`

C

`15/16`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
2
For `sin^(-1)(sinx) + cos^(-1) (cos y) "to be an integer x should lie between" [(-(pi)/(2),(pi)/(2))] "and y should lie between" [0,pi]`
`rArr x= 1 and y= 1,2,3`
`therefore "Required probability" = 3/16`
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