Question

If tan x =p+1:and tan y =p-1 then show that 2cot (x-y)=p2

Answer 1

tan x  = p+1
tan y = p -1
tan (x-y) =  [tan x - tan y]/[1 + tan x tan y]
  = 2 /p^2

2 Cot (x-y) =   p^2