If x,y∈[−1,1], cos(sin−1x)+sin(cos−1y)=√112, (1−x2)(1−y2 – InterviewSolution

1.	If x,y∈[−1,1], cos(sin−1x)+sin(cos−1y)=√112, (1−x2)(1−y2)=49, and x2+y2=ab2+3 for positive integers a and b, then the value of a+b is
Answer» If $x, y \in [- 1, 1],$ $cos ({sin}^{- 1} x) + sin ({cos}^{- 1} y) = \frac{\sqrt{11}}{2},$ $(1 - x^{2}) (1 - y^{2}) = \frac{4}{9},$ and $x^{2} + y^{2} = \frac{a}{b^{2} + 3}$ for positive integers $a$ and $b,$ then the value of $a + b$ is

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