Prove that (b² - c²) cot A + (c² - a²) cot B + (a² - b² ) cot C = 0

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For any triangle ABC, prove that `(b^2 c^2) cotA + (c^2 a^2) cotB + (a^2 b^2) cotC = 0`... For any triangle ABC, prove that `(b^2 c^2) cotA + (c^2 a^2) cotB + (a^2 b^2) cotC = 0`...
If `a^2,b^2,c^2` are in A.P., prove that `cotA ,cotB ,cotC` are in `AdotPdot` If `a^2,b^2,c^2` are in A.P., prove that `cotA ,cotB ,cotC` are in `AdotPdot`
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Show that in a triangle ABC, cot(A/2) + cot(B/2) + cot(C/2) = cot(A/2)*cot(B/2)*cot(C/2) Show that in a triangle ABC, cot(A/2) + cot(B/2) + cot(C/2) = cot(A/2)*cot(B/2)*cot(C/2)
29) Prove that cotA+cotB+cotC= a²+b²+c²/4delta || Properties of Triangle 29) Prove that cotA+cotB+cotC= a²+b²+c²/4delta || Properties of Triangle
Prove that a.sin(B-C)/b²-c² = b.sin(C-A)/c²-a² = c.sin(A-B)/a²-b² | PROPERTIES OF TRIANGLES Prove that a.sin(B-C)/b²-c² = b.sin(C-A)/c²-a² = c.sin(A-B)/a²-b² | PROPERTIES OF TRIANGLES
If `a^2 , b^2 , c^2` are in A.P., then prove that `cot A, cot B, cot C` are in A.P. If `a^2 , b^2 , c^2` are in A.P., then prove that `cot A, cot B, cot C` are in A.P.