Prove that `tan(A-B)=(tanA-tanB)/(1+tanAtanB)`

If A=60^(@) and B=30^(@) , verify that : (i)sin(A-B)=sinAcosB-cosAsinB (ii) cos(A-B)=cosAcosB+sinAsinB (iii) tan(A-B)=(tanA-tanB)/(1+tanAtanB)

If A and B are acute angles such that tanA=(1)/(3) , tanB=(1)/(2) and tan(A+B)=(tanA+tanB)/(1-tanAtanB) , Then find the value of A+B .

Prove that- sin(A-B)/sin(A+B)= (tanA-tanB)/(tanA+tanB)

Prove that- sin(A-B)/sin(A+B)= (tanA-tanB)/(tanA+tanB)

Prove that: tanA(1+sec2A)=tan2A

If n. sin(A+2B)=sinA , then prove that: tan(A+B)=(1+n)/(1-n).tanB

Prove that: (tanA + tanB)/(cotA+cotB)=tanAtanB

In a DeltaABC , prove that : tanA+tanB+tanC= tanA tanB tanC

If A + B + C = π , Prove that tanB tanC+tanC tanA+tanA tanB=1+secA . sec B . secC.