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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: trigonometry question
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[Post New]9 Apr 2008 20:32:14 IST
    Subject: trigonometry question
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rahulraj1 (14)

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If a,b,c and k are constant quantities and  ,, are variable subjects to the relation a tan alpha+btan beta+c tan gama=k,find the minimum value of
 
tan2alpha+tan2beta+tan2gama
    
[Post New]9 Apr 2008 21:19:33 IST
    Subject: trigonometry question
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Decoder (333)

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the minimum is generally observed wen quantities of sum r equal...

so in short we have got..
tanA(a+b+c) = k... as tan@=tanB=tanY...

so u get tanA = k/a+b+c...

so minimum value u get is... (by am-gm)

==> 3(k/a+b+c)^2..
Diamonds r formed under greatest pressures..
so r the champs.

Kriteesh..


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[Post New]9 Apr 2008 21:25:00 IST
    Subject: Re:trigonometry question
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ashish_banga (966)

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the answer is K2 / (a2 + b2 +c2 )
use (a1a2 + b1b2 + c1c2 )2 (a12 +  b12 + c12 ) (a22 +b22 +c22 )
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[Post New]9 Apr 2008 21:30:03 IST
    Subject: trigonometry question
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ashish_banga (966)

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but what 's problem with my solution
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[Post New]9 Apr 2008 21:31:59 IST
    Subject: trigonometry question
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ashish_banga (966)

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some one check
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