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Trignometry

viddya mandrekar's Avatar
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Joined: 1 Nov 2007
Post: 218
5 Apr 2008 15:57:15 IST
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Multiple n submultiples!
None

Q.tan(A+B)= n tan(A-B) then sin2A/sin2B =?
 
1.    1-n
----------
     1+n
 
 
2.  1+n
---------
    1-n
 
 
3.n-1
--------
  n+1
 
 
 
4.n+1
----------
  n-1


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Uday Prakash's Avatar

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Joined: 7 Dec 2006
Posts: 504
5 Apr 2008 20:52:17 IST
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tan(A+B)/tan(A-B) = n

expand this as (tanA+tanB)/1-tanAtanB
                         tanA-tanB/1+tanAtanB

Now expand tanA as sinA/cosA

U'll get sin(A+B)cos(A-B)/sin(A-B)cos(A+B) = n

use componendo dividendo and you'll get the answer as n+1/n-1

~Cheerio!!!
Tanmay's Avatar

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5 Apr 2008 21:09:36 IST
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the ans is n+1/n-1

xplaination givn by uday is perfect



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