`cotB=2tan(A-B)=>2tanB+cotB=`

Prove the following:If tanA=2tanB+cotB ,then 2tan(A-B)=cotB

If A+B+C=pi , prove that : (cotA+cotB)/(tanA+tanB) + (cotB+cotC)/(tanB+tanC) + (cotC+cotA)/(tanC+tanA) =1

If A+B+C=pi , prove that : (cotA+cotB)/(tanA+tanB) + (cotB+cotC)/(tanB+tanC) + (cotC+cotA)/(tanC+tanA) =1

cotB-cotA=b ,tanA-tanB=a ,find cot(A-B) .

If 2tanB +cotB=tanA , prove that: 2tan(A-B)=cotB

If 2tanB +cotB=tanA , prove that: 2tan(A-B)=cotB

In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to tanA/2cotB/2 (b) cotA/2tanB/2 cotA/2cotB/2 (d) tanA/2tanB/2

If A + B + C= 180^@ , prove that (cot A+cotB)/(tanA+tanB)+(cotB+cotC)/(tanB+tanC)+(cotC+cotA)/(tanC+tanA)=1

If (tanA-tanB)=x and (cotB-cotA)=y ,then cot(A-B)

If tanA-tanB=x and cotB-cotA=y , then cot(A-B)=?