[" (iv) "tan(B-C)+tan(C-A)+tan(A-B)],[=tan(B-C)tan(C-A)tan(A-B)]

Prove that, 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 .

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 =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=pi , then tan((A)/(2))tan((B)/(2))+tan((B)/(2))tan((C)/(2))+tan((C)/(2))tan((A)/(2)) is equal to a) (pi)/(6) b)3 c)2 d)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

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

In any triangle ABC, the value of (b+c) tan ""A/2 tan ""(B-C)/(2)+ (c+a) tan ""B/2 tan ""(C-A)/(2) + (a+b) tan ""C/2 tan ""(A-B)/(2) is-