On an Argand diagram the points A, B and C represent the complex numbers a, ß and y respectively. AABC is equilateral, named withits vertices taken anticlockwise. (a) Show that y-a= cos-+isin
On an Argand diagram the points A, B and C represent the complex numbers a, ß and y respectively. AABC is equilateral, named withits vertices taken anticlockwise. (a) Show that y-a= cos-+isin
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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Question 1
On an Argand diagram the points A, B and C represent the complex numbers
a, B and y respectively. AABC is equilateral, named withits vertices taken
anticlockwise.
(a)
Show that y-a = cos+isin-
(b) Show that a²+B² +y? = ß+ßy+7œ.
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