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Trignometry

Cool goIITian

 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?

Scorching goIITian

Joined: 18 Feb 2012
Posts: 264
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

Cool goIITian

Joined: 7 May 2012
Posts: 95
7 May 2012 18:34:22 IST
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how tan(A+B)=1?or,tanA+tanB=1-tanAtanB?

Scorching goIITian

Joined: 18 Feb 2012
Posts: 264
7 May 2012 23:16:58 IST
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tan(pi+45)=tan45=1

Cool goIITian

Joined: 3 Oct 2011
Posts: 82
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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