Question

if sin A=4/5 and sin B=5/13 then cot(A-B)=?

Answer 1

we know that opp side is 4
adj side is 5
cot =adj/opp
sub the value of both a and b to fetch u r ans

Answer 2

Cot(A-B)= (cotAcotB+1)/ cotA+cotB
CotA=cosA/sinA
Find their individual values put and get the answer.