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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: rates assured eliminate theta
Forum Index -> Trignometry like the article? email it to a friend.  
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shailesh_45 (63)

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eliminate
cos  + cos2   = p
sin   + sin2     = q   
rates assured
    
sboosy (3011)

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squaring and adding the 2 eqns
 
we get
 
2+2cosa=p2+q2      .........1
from first eqn
cosa + 2cos2a-1= p
solving above as quadratic we get value of cosa in terms of p
 
substitute in 1
u get the answer
 
 
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hsbhatt (3699)

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cos  + cos2   = p
sin   + sin2     = q   
 
Squaring and adding the equations, we get
p2+q2 = 2+2(cos cos2+sin sin2) = 2+2cos
 
Hence cos = p2+q2/2 - 1
 
Let p2+q2 = 2m
 
Hence cos = m-1
 
cos2 = 2(m-1)2 - 1 = 2m2 -4m+1
 
From eqn 1,
cos  + cos2   = p
 
Hence 2m2-3m = p where m = p2+q2/2 thus eliminating
 
sorry sboosy, I didnt know you were on to this one!
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sboosy (3011)

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no problem at all bhattji
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