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

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.

If cos(A+B) sin (C-D) = cos (A-B) sin (C+D) , then show that tan A tan B tan C + tan D =0

If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a n A t a n B t a n Cdot

If sin(B+C-A),sin(C+A-B),sin(A+B-C), are AdotPdot,t h e ncot A ,cot B ,cot C a r ein (a) G P (b) H P (c) A P (d) none of these

If A+B+C=pi , prove that: cot^2 A+cot^2 B + cot^2 C ge 1

In a triangle ABC, if sin A sin(B-C)=sinC sin(A-B) , then prove that cos 2A,cos2B and cos 2C are in AP.

In a DeltaABC, prove that: 2r le (a cot A+ b cot B+ c cot C)/(3)leR

In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then prove that cottheta=cot A+cot B+cotCdot

In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then prove that cottheta=cot A+cot B+cotCdot

If A+B+C=pi , prove that : cot, A/2+ cot, B/2 + cot, C/2 = cot, A/2 cot, B/2 cot, C/2