The probability that `sin^(-1)(sinx)+cos^(-1)(cosy)` is an integer `x,y in {1,2,3,4}` isA. `(1)/(16)`B. `(3)/(16)`C. `(15)/(16)`D. `(14)/(16)`

The probability that `sin^(-1)(sinx)+cos^(-1)(cosy)` is an integer `x,

1.	The probability that `sin^(-1)(sinx)+cos^(-1)(cosy)` is an integer `x,y in {1,2,3,4}` isA. `(1)/(16)`B. `(3)/(16)`C. `(15)/(16)`D. `(14)/(16)`
Answer» Correct Answer - B `(b)` For expression `sin^(-1)(sinx)+cos^(-1)(cosy)` to be an integer, `x` should lie between `[-(pi)/(2),(pi)/(2)]` and `y` should lie between `[0,pi]` `x=1` and `y=1,2,3` `:.` Required probability `=(3)/(16)`

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The probability that `sin^(-1)(sinx)+cos^(-1)(cosy)` is an integer `x,y in {1,2,3,4}` isA. `(1)/(16)`B. `(3)/(16)`C. `(15)/(16)`D. `(14)/(16)`

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