Trigonometry/Series Question

What to do of the denominator
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18 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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iTeachChem
iTeachChem9mo ago
abhi jee ka exam hai, wait a couple of days hah for people to respond xD
Comrade Rock Astley
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
ᴘɪᴄᴄʜɪ | 🎧 🎶
@Fermat's Last Theorem
Linarp
Linarp8mo ago
i think you can do this by complex
Fermat's Last Theorem
Show work
Fermat's Last Theorem
I dont get this step i wrote 1=cos^2(theta_r)+sin^2(theta_r)
Linarp
Linarp8mo ago
limit n does not tend to infinity so ig we cant do this
Comrade Rock Astley
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
TeXit
TeXit8mo ago
Comrade Rock Astley
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Comrade Rock Astley
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 missed the summation symbol, my bad
Fermat's Last Theorem
Oh Apparently I solved it by complex numbers
Comrade Rock Astley
Nice
Deleted User
Deleted User8mo ago
YE KYA HAI
iTeachChem
iTeachChem8mo ago
+solved @Comrade Rock Astley
iTeachChem Helper
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