113. The points A, B and C represent the complex numbers a, ẞ and y respectively. AABC is equilateral, named with its vertices taken anticlockwise. (i) Show that y - α = (cos 1/4 + isin 17) (B - α) 3 (ii) Show that that a² + ẞ² + y² = aẞ + By + ya

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 38E
Question
113. The points A, B and C represent the complex numbers a, ẞ and y respectively. AABC is equilateral, named with
its vertices taken anticlockwise.
(i)
Show that y - α = (cos 1/4 + isin 17) (B - α)
3
(ii)
Show that that a² + ẞ² + y² = aẞ + By + ya
Transcribed Image Text:113. The points A, B and C represent the complex numbers a, ẞ and y respectively. AABC is equilateral, named with its vertices taken anticlockwise. (i) Show that y - α = (cos 1/4 + isin 17) (B - α) 3 (ii) Show that that a² + ẞ² + y² = aẞ + By + ya
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