If `x=sin^(-1)((2t)/(1+t^(2)))andy=tan^(-1)((2t)/(1-t^(2))),` then prove that `(dy)/(dx)=1`.

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If `x=sin^(-1)((2t)/(1+t^(2)))andy=tan^(-1)((2t)/(1-t^(2))),` then prove that `(dy)/(dx)=1`.
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