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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: doubt 2
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joyfrancis (1504)

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find general solution of
2(sinx - cos2x) - sin2x(1 + 2sinx) + 2cosx = 0

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joyfrancis (1504)

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come on experts...this must be easy for u guyz!
 

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nunoxic (1460)

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Firstly......To Get Answers From Experts Post This Question In Expert Section......Secondly The Answer Is
0

I Did Not Solve This Sum ....... Whenever U have a sum on general solution always use 10 seconds and first check if the values 0,90 are satisfyin......i did that and 0 satisfies the equation........
ill will try to put up a logical proof

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joyfrancis (1504)

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ya ok...thanks

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vasanth (2315)

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hey i got the solution
 
2(sinx- cos2x) - sin2x(1+2sinx) +2cosx=0
2(sinx - 1 +2sin2x) - 2sinxcosx(1+2sinx) +2cosx=0
 
2sin2x +sinx -1- sinx cosx -2sin2xcosx +cosx=0
 
2sin2x(1-cosx) +sinx(1-cosx) -(1-cosx)=0
 
implies
2sin2x + sinx -1=0                                  or                1-cosx=0
sinx = -1 or 1/2                                                          cosx =1
sinx = sin(-pi/2) or sin(pi/6)                                         cosx = cos 0
x = n(pi) +(-1) n(-pi/2) or   n(pi) +(-1) n (pi/6)                   x= 2n(pi)
 
 
x= {n(pi) +(-1) n(-pi/2)}  U  {n(pi) +(-1) n (pi/6)}  U  {2n(pi)}
 
cheeeeeeeers
 
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joyfrancis (1504)

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excellent job vasanth!..take a salute

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vasanth (2315)

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thanx man

dbznfreak---watchin episodes for 6 yrs--movin on to dbgt

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arjundas_007 (37)

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2sin2x + sinx -1=0                                  or                1-cosx=0
 
how did u get this step
can u plzzzzzzz explain

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vasanth (2315)

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2sin2x(1-cosx) + sinx(1-cosx) -1(1-cosx)=0
the aboveequation equates to zero if and only if
2sin2x + sinx -1=0    or    1-cosx=0
 
for better understanding
2sin2x(1-cosx) + sinx(1-cosx) -1(1-cosx)=0
can b written as
(2sin2x + sinx -1)(1-cosx)=0
and hence the step
2sin2x + sinx -1=0                                  or                1-cosx=0
 
hope u got it
dont 4get 2 rate me
 
cheeeeeeers

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vasanth (2315)

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plzzzzzzzzz ask if u r not clear

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surbhi (0)

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hey......u hav a gr8 mind vasanth...!!!!!

surbhi mittal
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