5 Apr 2008 20:52:17 IST
tan(A+B)/tan(A-B) = n
expand this as (tanA+tanB)/1-tanAtanB
tanA-tanB/1+tanAtanB
Now expand tanA as sinA/cosA
U'll get sin(A+B)cos(A-B)/sin(A-B)cos(A+B) = n
use componendo dividendo and you'll get the answer as n+1/n-1
~Cheerio!!!
expand this as (tanA+tanB)/1-tanAtanB
tanA-tanB/1+tanAtanB
Now expand tanA as sinA/cosA
U'll get sin(A+B)cos(A-B)/sin(A-B)cos(A+B) = n
use componendo dividendo and you'll get the answer as n+1/n-1
~Cheerio!!!