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Trignometry
PRAKASH KUMAR
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Joined: 7 May 2012
Post: 95
7 May 2012 10:41:00 IST
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value of expression
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Trigonometry

 if A+B =225° then the value of expression (1+cotA)(1+cotB)/cotAcotB is?


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ronnie
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7 May 2012 12:39:37 IST
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  • letz=(1+cotA)(1+cotB)/cotAcotB=(1+tanA)(1+tanB)=1+tanA+tanB+tanAtanB
  • now A+B=180+45.
  • so tan(A+B)=1
  • or,tanA+tanB=1-tanAtanB
  • or,tanA+tanB+tanAtanB=1
  • so z=2
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PRAKASH KUMAR
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7 May 2012 18:34:22 IST
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how tan(A+B)=1?or,tanA+tanB=1-tanAtanB?
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ronnie
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7 May 2012 23:16:58 IST
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tan(pi+45)=tan45=1
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P.SREEDHAR
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8 May 2012 10:47:37 IST
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 A+B=225,apply tan on both sides . after applying convert it into cot and the final answer is 2
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