21Sir,
Can u pl. expand on the hint that u gave Priyam, coz i tried that but cud not find a breahthru
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
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22 Answers
33koi 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
2121HERE's the solution :
Its actually a one-liner, i made it loooooooong to giv a better IDEA!
1tapan giv d hint daa....................my mind is on fire......thinkin of this hehe
33hmmm.... nahi hint de do..
man nahi kar raha mere ko banane ka..
21Priyam think diff :
Work on this : { 1 step and da sum is done }, not sooo many steps
33=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..]
33hmmm.... dekhe the kar ke..... saaam me hi bana rahe the isko... par phir se kar ke dekhte hain...
33are haan formula to find karna hai... prove thode hi karna hai.,....
33nahi pura ka pura trigno formulae se.. karna hai widout induction...
1BHAIYYA???????????how induction????? we need to find the general term naa????? not say tht d general term is correct or sumthin like tht......
33\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.. :(
21BTW Akand pl. post ur final answer dude! [and ya pl. hide it]
21NO 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...
1wel 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]