SUMMATION : ............

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

22 Answers

33
Abhishek Priyam ·

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

21
tapanmast Vora ·

Sir,

Can u pl. expand on the hint that u gave Priyam, coz i tried that but cud not find a breahthru

21
tapanmast Vora ·

HERE's the solution :

Its actually a one-liner, i made it loooooooong to giv a better IDEA!

1
KR ·

0

1
Akand ·

tapan giv d hint daa....................my mind is on fire......thinkin of this hehe

33
Abhishek Priyam ·

hmmm.... nahi hint de do..

man nahi kar raha mere ko banane ka..

21
tapanmast Vora ·

Priyam think diff :

Work on this : { 1 step and da sum is done }, not sooo many steps

33
Abhishek Priyam ·

we have now to find..

cos((n-1)B))+cos((n-3)B))+....
2 2

[12]

33
Abhishek Priyam ·

=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..]

33
Abhishek Priyam ·

hmmm.... dekhe the kar ke..... saaam me hi bana rahe the isko... par phir se kar ke dekhte hain...

62
Lokesh Verma ·

take the sum of rth and n-rth term

21
tapanmast Vora ·

HINT 2 : first try to find da summation upto n terms.....

21
tapanmast Vora ·

This hint will crack the SUM,

shud i give it?

33
Abhishek Priyam ·

are haan formula to find karna hai... prove thode hi karna hai.,....

33
Abhishek Priyam ·

nahi pura ka pura trigno formulae se.. karna hai widout induction...

1
Akand ·

BHAIYYA???????????how induction????? we need to find the general term naa????? not say tht d general term is correct or sumthin like tht......

62
Lokesh Verma ·

uff..

priyam.. ek baar try Induction

33
Abhishek Priyam ·

koi aur banao ya start karo(ek do step..) trignometry se

33
Abhishek Priyam ·

\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.. :(

21
tapanmast Vora ·

BTW Akand pl. post ur final answer dude! [and ya pl. hide it]

21
tapanmast Vora ·

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...

1
Akand ·

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]

Your Answer

Close [X]