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If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(...

If `x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) ` , `a >0 ` `a n d` ` -1 < t < 1` , show that `(dy)/(dx)=-y/x`.

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