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Determine the integral values of k for w...

Determine the integral values of `k` for which the system `(tan^(-1)x)^(2)+(cos^(-1)y)^(2)=pi^(2)k` and `tan^(-1)x+cos^(-1)y=(pi)/2` possess solution and find all the solutions.

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The correct Answer is:
`k=1,x=tan(1-sqrt(7))(pi)/4,y=cos(sqrt(7)+1)(pi)/4`
NA
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