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sin 80 14. (a) Use de Moivre's theorem to express as a polynomial in s, where s = sin 0. sin 0 cos 0 (b) Hence solve the equation x6 – 6x* + 10x2 – 4 = 0, leaving the roots in trigonometric form.

sin 80 14. (a) Use de Moivre's theorem to express as a polynomial in s, where s = sin 0. sin 0 cos 0 (b) Hence solve the equation x6 – 6x* + 10x2 – 4 = 0, leaving the roots in trigonometric form.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi, can you solve this using COMPLEX NUMBERS AND DE MOIVRES THEOREM. 

 

The previous solution I got for this was wrong as it used double angle theorem

sin 80 14. (a) Use de Moivre's theorem to express as a polynomial in s, where s = sin 0. sin 0 cos 0 (b) Hence solve the equation x6 – 6x* + 10x2 – 4 = 0, leaving the roots in trigonometric form.
Transcribed Image Text:sin 80 14. (a) Use de Moivre's theorem to express as a polynomial in s, where s = sin 0. sin 0 cos 0 (b) Hence solve the equation x6 – 6x* + 10x2 – 4 = 0, leaving the roots in trigonometric form.
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