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question mark

The probability that sin-1 (sin x)+cos-1 (cos y) is an integer for x,y belongs to {1,2,3,4} is

deepikA thotlavalluri , 15 Years ago
Grade 11
anser 1 Answers
Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

sin^{-1}sinx = x
When
\frac{-\pi }{2}\leq x\leq \frac{\pi }{2}
cos^{-1}cosy = y
When
0\leq y\leq \pi

Out of total 16 combination of {x, y}, only one combination {1,1} is possible
Probability:
\frac{1}{16}

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