b2 + c2 – a² cos A = 2bc a? +c2 – b2 cos B = 2ас

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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5 (C) A student asks how you prove the other 2 versions of the Law of Cosines found in
equations (5.9) and (5.10). How do you do it?
b² + c² – a²
cos A =
(5.9)
2bc
a² + c2 – b2
Cos B =
(5.10)
2ac
Transcribed Image Text:5 (C) A student asks how you prove the other 2 versions of the Law of Cosines found in equations (5.9) and (5.10). How do you do it? b² + c² – a² cos A = (5.9) 2bc a² + c2 – b2 Cos B = (5.10) 2ac
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