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Ask iit jee aieee pet cbse icse state board experts Expert Question: trigonometry
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[Post New]18 Feb 2007 19:46:12 IST
    Subject: trigonometry
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vish0001 (493)

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Q.1 if A,B,C are the angles of a triangle ABC and <A is obtuse, then ::
 
a. tan C tan B < 1                    b. tan B tan C >1
c. tan B tan C = 1                    d. nonw of these


    

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[Post New]18 Feb 2007 20:02:11 IST
    Subject: trigonometry
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vish0001 (493)

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please reply !!


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[Post New]18 Feb 2007 20:11:11 IST
    Subject: trigonometry
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vish0001 (493)

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!!!???


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[Post New]18 Feb 2007 20:17:16 IST
    Subject: trigonometry
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amaron (726)

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answer is A (just substitute and see),after all its an mcq!
Destiny is what you make


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[Post New]18 Feb 2007 20:18:34 IST
    Subject: trigonometry
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vish0001 (493)

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but how can we think of the proof ??


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[Post New]18 Feb 2007 20:19:19 IST
    Subject: trigonometry
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vish0001 (493)

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hye amaron, please try other questions asked by myself if u are not busy !


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[Post New]18 Feb 2007 20:23:43 IST
    Subject: Re:trigonometry
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umang (229)

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Acc. to me -
tanA should be -ve , bcoz A is obtuse (b/w 90 and 180)
and tan B should be +ve (as it is acute)
therefore , tanAtanB is -ve .
this means tanAtanB is < 0
that is , answer should be D (none of these )
Umang
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[Post New]18 Feb 2007 20:25:12 IST
    Subject: trigonometry
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vish0001 (493)

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it is not Tan A> tanB. the questionsis asking to prove ::

tanB tanc<1


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[Post New]18 Feb 2007 20:36:38 IST
    Subject: Re:trigonometry
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umang (229)

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Hey , I got it !
tan(B+C) = tanB + tanC / 1-tanBtanC
this means -tanA = tanB+tanC/1-tanBtanC (A+B+C = pi)
tanA is -ve . therefore , LHS is +ve .
In RHS , tanB+tanC is +ve . therefore , 1-tanBtanC is +ve
this means tanBtanC is less than 1 .
Is this clear ?????
Umang
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[Post New]18 Feb 2007 20:37:08 IST
    Subject: trigonometry
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vish0001 (493)

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can anyone solve ??


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[Post New]18 Feb 2007 20:37:47 IST
    Subject: Re:trigonometry
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vasanth (2315)

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SORRY I READ THE QUESTION WRONG
newayzz i'll go with umang
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[Post New]18 Feb 2007 20:38:05 IST
    Subject: Re:trigonometry
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umang (229)

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I am sorry , earlier I wrongly read the question !!! 
Umang
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[Post New]18 Feb 2007 20:39:22 IST
    Subject: Re:trigonometry
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