doubts

please give me as many alternative ways as possible

the value of

\sum_{k=1}^{10}{sin(2k\pi /11)+icos(2k\pi/11)}

15 Answers

1
°ღ•๓яυΠ·

multiply n divide by i^3

then u get it as summation frm 1 to 10 e^(- i2kpi/11)

iske aage
gp ke funde laga
u get d answer

11
Mani Pal Singh ·

just simply put the values
Then later add them

sin(\frac{2pi}{11}+\frac{4pi}{11}.........)+icos(\frac{2pi}{11}+\frac{4pi}{11}...........)

now add the values
u will get

sin 5pi + icos5pi

hence

-i

1
spiderman ·

yaar aise mat bolo oye gp ke funde lagane hote to kyun puchta bata de yaar
and mani yaar please explain [2]

11
Mani Pal Singh ·

what may i explain????

u have to add
2+4+6+8...............20

i did that to jump onto 2nd last step!!!!!!

1
spiderman ·

am sorry

1
spiderman ·

accha isko euler form main kaise karte ?

1
°ღ•๓яυΠ·

meine wahi toh bataya bhai

1
spiderman ·

arre wahi kar raha tha nahi hua aur ab tumhe lag raha hai ki main silly dbts puch raha hun [2]

1
°ღ•๓яυΠ·

kya bolte ho tum

summation frm 1 to 10 e^(- i2kpi/11)

itz

e-2pi/11 +e-4pi/11........... +e-20pi/11

so nw gp banta hai.........

so sumation of this gp =a(r^n-1)/(r-1)

wer r is d common ratio yane second term/first term

11
Subash ·

#3

It should be

sin(2Î /11)+sin(4Î /11)+sin(6Î /11)+...........

there is formula for this

1
spiderman ·

samaj gaya ~~~~thanks

1
°ღ•๓яυΠ·

yeah thr is............ :P

1
Pavithra Ramamoorthy ·

boss!! i don find anyother alternative than d above mentioned....

1
Philip Calvert ·

no ramkumar one more way exists
and possibly a better one ...

1
spiderman ·

answer - iota hai mera aagaya finally thanks dee dee [3]

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