#Trigonometry/Series Question

1 messages · Page 1 of 1 (latest)

fluid mauve
#

What to do of the denominator

compact bluffBOT
#

<@&1227988399579730072>

#
Note for OP

+solved @user to close the thread when your doubt is solved. Mention the user who helped you solve the doubt. This will be added to their stats.

ancient eagle
#

abhi jee ka exam hai, wait a couple of days hah for people to respond xD

warm solstice
#

Split the 1 into cos^2 alpha +sin^2 alpha or cos^2 theta_r and sin^2 theta_r

#

depending on whichever one helps you most

#

If you need more help you could convert this into an integral using 2pir/n

grim heart
#

@fluid mauve

lone barn
#

i think you can do this by complex

fluid mauve
ancient eagle
fluid mauve
#

i wrote 1=cos^2(theta_r)+sin^2(theta_r)

lone barn
warm solstice
#

They haven't specified n so that might lead to a simpler approach

#

(just an observation, haven't tried it in depth)

#

If anything you could create an inequality and use the sandwich theorem, that's another possible idea

covert hedgeBOT
#

Comrade Rock Astley

warm solstice
#

Now

#

For the limits 0 and n-1 let the sum be S-

#

For the limits 1 and n let the sum be S+

#

those represent the upper and lower Riemann sums of the integral when 2pi r/n = x and 2pi /n = dx

#

and n tends to infinity

warm solstice
fluid mauve
#

Oh

fluid mauve
#

Apparently I solved it by complex numbers

warm solstice
#

Nice

fluid mauve
ancient eagle
#

+solved @warm solstice