koi formula lagana hoga...aur kya...
mere ko abhi kuch nahi yaad hai...
sinC+sinD lagan hoga aur kya.....
kuch formula use kiye the 11th me .. us samay yaad tha.. :p
Chalo I'll give one (Priyam) :
S = SIN(A) + SIN(A+B) + SIN(A+2B) + SIN(A+3B) + .................. ∞
{try to do it widout using complex nos.}
{Believe me its a one step sum}
HINT : use Trigo.... he he
koi formula lagana hoga...aur kya...
mere ko abhi kuch nahi yaad hai...
sinC+sinD lagan hoga aur kya.....
kuch formula use kiye the 11th me .. us samay yaad tha.. :p
Sir,
Can u pl. expand on the hint that u gave Priyam, coz i tried that but cud not find a breahthru
HERE's the solution :
Its actually a one-liner, i made it loooooooong to giv a better IDEA!
tapan giv d hint daa....................my mind is on fire......thinkin of this hehe
hmmm.... nahi hint de do..
man nahi kar raha mere ko banane ka..
Priyam think diff :
Work on this : { 1 step and da sum is done }, not sooo many steps
=2sin(2A+(n-1)B)[cos((n-1)B))+cos((n-3)B))+....]
2 2 2
yaha tak aaya... [iske andar wala ka kuch akrte hai aage..]
hmmm.... dekhe the kar ke..... saaam me hi bana rahe the isko... par phir se kar ke dekhte hain...
are haan formula to find karna hai... prove thode hi karna hai.,....
nahi pura ka pura trigno formulae se.. karna hai widout induction...
BHAIYYA???????????how induction????? we need to find the general term naa????? not say tht d general term is correct or sumthin like tht......
\frac{\sin(A+\frac{n-1}{2}B)\sin(\frac{nB}{2})}{\sin(\frac{B}{2})}
[4]
just copied from package...
[2]trignimetry se nahi ho raha.. 11th me kiye the... ab nahi ho raha.. :(
NO THIS UN'S not specially 4 priyam or anything lyk dat........
its jus dat i was reminded of this question lukin at priyam's que...
wel is it...Σsin(A+rB)....r=0 to ∞???? HEHEHE[3][3][3]..
WEL...USING complex numbers it is..
S=Img(ei(A+rB))....
Using trig..let priyam do it...[3][3]