Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1. Prove that: a) PoP PoP2 ग 2T b) sin sin n c) sin sin 72 Зл 2n PoPn-1 = n; (n-1)л - sin sin n (2n-1)л 2n n 2n-1 2n-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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part a and part b full solution

Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1.
Prove that:
a) PoPi PoP2
2π
J
b) sin - sin
n
T
c) sin sin
2n
E
n
33377
3π
2n
PoPn-1 = n;
(n-1)л
sin
- sin
n
(2n - 1)л
2n
n
2n-1
1
2n-1°
H
Transcribed Image Text:Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1. Prove that: a) PoPi PoP2 2π J b) sin - sin n T c) sin sin 2n E n 33377 3π 2n PoPn-1 = n; (n-1)л sin - sin n (2n - 1)л 2n n 2n-1 1 2n-1° H
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