tan theta – cot theta/sin theta cos theta = tan^2 theta – cot^2 theta

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If the roots of the equation (a-b)x^2 +(b-c)x+(c-a) =0 then prove that b+c=2a
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If the roots of the equation (a-b)x^2 +(b-c)x+(c-a) =0 then prove that b+c=2a