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The probability that `sin^(-1)(sin x)+cos^(-1)(cos y)` is an integer `x, y in (1,2,3,4)`,isA. `1/16`B. `3/16`C. `15/16`D. None of these |
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Answer» Correct Answer - 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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