(a) De Moivre's theorem says that (cose + i sine) = cos(ne)+ i sin(ne). Recalling the method of complex multiplication, explain why this makes sense. (b) Use the theorem to find useful expressions for sin(20) and cos(20).
(a) De Moivre's theorem says that (cose + i sine) = cos(ne)+ i sin(ne). Recalling the method of complex multiplication, explain why this makes sense. (b) Use the theorem to find useful expressions for sin(20) and cos(20).
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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