anonymous
  • anonymous
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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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@akash123
anonymous
  • anonymous
sin(A-B)/ cosA*cosB =1/x from Tan A - tan B=x
anonymous
  • anonymous
okay !

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anonymous
  • anonymous
then ?
anonymous
  • anonymous
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
anonymous
  • anonymous
@akash123 sin(A-B)/ cosA*cosB =x from Tan A - tan B=x
anonymous
  • anonymous
cot(A-B) = [ cot A* cot B+1] / ( cot B - cot A)
anonymous
  • anonymous
yes...thanks...I have corrected it later
anonymous
  • anonymous
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
anonymous
  • anonymous
yes i understood that !
anonymous
  • anonymous
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
anonymous
  • anonymous
another way @sauravshakya write the reciprocal f 1st and 2nd equation and add both then simplify it.
anonymous
  • anonymous
Yep... I would go with that....
anonymous
  • anonymous
okay got it :) thank you !
anonymous
  • anonymous
:)

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