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In a Delta A B C , prove that: (b^2-c^2...

In a ` Delta A B C ,` prove that: `(b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)cotC=0`

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consider `(b^{2}-c^{2}) cot A=frac{(b^{2}-c^{2}) cos A}{sin A}`
`=frac{b^{2}-c^{2}}{k a} cdot frac{b^{2}+c^{2}-a^{2}}{2 b c} `
`=frac{b^{4}-c^{4}-a^{2} b^{2}+a^{2} c^{2}}{2 k a b c}`
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