`tan(B-C)+tan(C-A)+tan(A-B)=tan(B-C)tan(C-A)tan(A-B)`

If A,B,C are angles of a triangle, prove that (tan (B+C)+tan(C+A)+tan(A+B))/(tan (pi-A)+tan(2pi-B)+tan(3pi-C))=1 .

Prove that tan(A+B+C)=(tan A+tan B+tan C-tan A tan B tan C)/(1-tan A tan B-tan B tan C-tan C tan A)

(tan A+tan B-tan C+tan A tan B tan C)/(1-tan A tan B+tan B tan C+tan C tan A)

IF A+B+C =pi , then tan ((A)/(2)) tan ((B)/(2)) + tan (B/2) tan (C/2) + tan (C/2 ) tan ((A)/(2)) is

If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) + tan (C + A) + tan (A + B))/(tan (pi - A) + tan(2pi - B) + tan (3pi - C)) = 1

If A,B,C,D are the angles of a quadrilateral, then (tan A+tan B+tan C+tan D)/(cot A+cot B+cot C+cot D) is equal to: (a) tan A tan B tan C tan D(b)tan^(2)A+tan^(2)B+tan^(2)C+tan^(2)D(d)sum tan A tan B tan C

In triangle A B C ,tan(A-B)+tan(B-C)+"tan"(C-A=0. Prove that the triangle isisoceles.

In triangle A B C ,tan(A-B)+tan(B-C)+"tan"(C-A=0. Prove that the triangle isisoceles.

If A+B+C=pi, prove that (tan A)/(tan B tan C)+(tan B)/(tan Atan C)+(tan C)/(tan A tan B)=tan A+tan B+tan C-2cot A-2cot B-2cot C