If `cos(A+B)sin(C+D)=cos(A-B)sin(C-D)`, prove that `cot A cot B cot C=cotD`.

a cot A+b cot B+c cot C=

Statement:1 If cos(A+B)sin( C +D) = cos(A-B) sin(C-D) , then the values of cotAcotBcotC is cotD. And Statement:2: If cos(A+B) sin(C+D)= cos(A-B) sin(C-D) then the value of tanAtanBtanC is tanD.

(cos(A+B))/(cos(A-B))+(cos(C-D))/(cos(C+D))=0rArr cot A cot B cot C=

In a triangle ABC,if sin A sin(B-C)=sin C sin(A-B), then prove that cot A,cot B,cot C are in A.P.

In a triangle ABC,if sin A sin(B-C)=sin C sin(A-B), then prove that cot A,cot B,cot C are in AP

(cos(A+B))/(cos(A-B))+(cos(C-D))/(cos(C+D))=0rArr cot A cot B cot C cot D=

If (" cos " (A+B))/(" cos " (A-B)) =(" sin " (C+D))/(" sin " (C -D)) , prove that tan A tan B tan C + tan D=0

sin(B+C-A),sin(C+A-B),sin(A+B-C)sin(B+C-A),sin(C+A-B),sin(A+B-C) are A.P., then cot A,cot B,cot C are in GP(b)HP(c)AP(d) none of these

If A+B+C= 90^@ , Prove that cot A+cot B+cot C=cot A cot B cot C

If A+B+C= pi and cos A=cos B. cosC,prove that cot B cot C= 1/2