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If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1...

If `cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a` , prove that `(dy)/(dx)=y/xdot`

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Given, `\cos ^{-1}(\frac{x^{2}-y^{2}}{x^{2}+y^{2}})=\tan ^{-1} a` $$ \frac{x^{2}-y^{2}}{x^{2}+y^{2}}=\cos \left\{\tan ^{-1} a\right\}=\text { constant } $$ Differentiate w.r.t. `x` $$ \Rightarrow \frac{d}{d x}\left(\frac{x^{2}-y^{2}}{x^{2}+y^{2}}\right)=0 $$ ...
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