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Trignometry

Himanshu's Avatar
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5 Apr 2007 11:59:49 IST
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bonus before JEE !!!!!!!!!!!!!!!!
None

........................Sin 18 degree
sin2# = sin3# (below 18 degrees)
..............if there is
acos# + b sin# = c
then                -a2 + b2  <- c < a2 + b2
...................
i the type of qs.....
sinax + sinbx = summation n=0 to n cncosmx
then the vaule of n is 
highest value of a + coeff. of x in sin x
eg.         sin3x + sin3x = summation n=0 to n cncosmx
then value of n is sin3x +sin3x
n = 3 + 3 = 6


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Himanshu's Avatar

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5 Apr 2007 12:03:17 IST
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sinpi / 14*sin3pi/14*sin5pi/14 *sin7pi/14 *sin9pi/14
its ans is 1 / 2^n-1
n = no. of terms
(condition .. 1 sin term must b standardised eg. in above case sin7pi/14 can b written as sinpi/2)
(denominator must b even)
anshul sharma's Avatar

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5 Apr 2007 15:32:35 IST
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good................
Himanshu's Avatar

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5 Apr 2007 21:50:50 IST
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thanx
Himanshu's Avatar

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5 Apr 2007 22:01:38 IST
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value of
sin pi / 7 + sin 2 pi / 7 + sin 3pi / 7 = ?
shortcut

= 1/2 cot(1/2*first angle)
here

= 1/2 cot(1/2.pi/7)
Himanshu's Avatar

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5 Apr 2007 22:05:07 IST
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sin pi / 7 *sin 2 pi / 7 * sin 3pi / 7
(note --- here denominator is odd in above sin cases den was even)

= (denominator)^1/2 / 2^n
n = no. of terms
here
= (7)^1/2 / 2^3
= sq. root 7 / 8
Nitesh Nakli's Avatar

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5 Apr 2007 22:12:41 IST
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great yaar
Himanshu's Avatar

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5 Apr 2007 23:04:07 IST
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thank u..........................
anshul sharma's Avatar

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6 Apr 2007 12:27:09 IST
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yup
great
Himanshu's Avatar

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6 Apr 2007 21:17:28 IST
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thanxxxxx
vir sharma's Avatar

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6 Apr 2007 22:53:43 IST
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great yaar
Himanshu's Avatar

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7 Apr 2007 11:12:29 IST
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thank u
thank u all
Avinash Bhat's Avatar

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8 Apr 2007 20:42:45 IST
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Great !! Take a rate...
Himanshu's Avatar

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8 Apr 2007 22:59:58 IST
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thanx .......



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