If `A+B=45^(@)`, then prove that `(i) (1+ tan A) (1+ tan B) =2 (ii) (cot A-1) (cot B-1)=2`

If A+B=(pi)/(4), prove that: (1+tan A)(1+tan B)=2(cot A-1)(cot B-1)=2

If x+y=45^(@) then prove that :(1+tan x)(1+tan y)=2(cot x-1)(cot y-1)=2

Prove that (1)/(tan 3A - tan A) - (1)/(cot 3A - cot A) = cot 2A .

Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B

If A+B=45^(@) then prove that (1+tan A)(1+tan B)=2. On the basis of the result obtained prove that tan22.5^(0)=sqrt(2)-1

Prove that: tan^(-1) (1/2tan2A) + tan^(-1) (cotA) + tan^(-1) (cot^3A) =0

If A+B=45^(circ) , prove that (cot A-1)(cot B-1) = 2

If tan A = 1/3 and tan B = 2/7 , then cot(A-B)=

If tan A=(1)/(3), tan B=(2)/(7) then cot (A+B)=

If A + B = 45^(@), " then " (cot A - 1) ( cot B - 1) is