If `tan - A tan B = x, cot B - cot A = y` prove that cot (A - B) = `(1)/(x) + (1)/(y)`

If tanA-tanB=x a n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

(i) If tanA-tan B=x and cot B- cot A=y . Prove that cot(A-B)=1/x + 1/y . (ii) If 2 cos A = x+1/x, 2 cos B = y + 1/y , then show that 2 cos (A-B)= x/y+y/x .

If tanA-tan B=x , and cot B-cotA=y , then find the value of cot(A-B) .

If tan A= cot B. prove that : A+B =90^(@)

Prove that tan A - cot A =-2 cot2A

If tan (cot x) = cot (tan x) , prove that : sin 2x = 4/((2n+1) pi)

If cosec A + sec A = cosec B + sec B , prove that tan A tan B = cot( A+ B)/ 2

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)