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If tan A - tan B = x and cot B - cot A =Y , pt COT (a-b) = 1/X + 1/Y

Mathematics
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sin(A-B)/ cosA*cosB =1/x from Tan A - tan B=x
okay !

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Other answers:

then ?
and sin(A-B)/ sinA* SinB=y from cotB- cotA =y sin(A-B)/ cosA*cosB =x from Tan A - tan B=x tanA*tanB= x/y
@akash123 sin(A-B)/ cosA*cosB =x from Tan A - tan B=x
cot(A-B) = [ cot A* cot B+1] / ( cot B - cot A)
yes...thanks...I have corrected it later
sin(A-B)/ sinA* SinB=y from cotB- cotA =y sin(A-B)/ cosA*cosB =x from Tan A - tan B=x divide 2nd by 1st then u'll get tanA*tanB= x/y
yes i understood that !
now use the identity cot(A-B) = [ cot A* cot B+1] / ( cot B - cot A) and substitute the value of cot A* cot B and (cot B- cot A) then u'll get the answer
another way @sauravshakya write the reciprocal f 1st and 2nd equation and add both then simplify it.
Yep... I would go with that....
okay got it :) thank you !
:)

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