2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos C cos? CJ Show that det M = sin(A – B) sin(B – C) sin(C – A) - -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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2. Given matrix M below,
sin? A sin A cos A cos² A
M = |sin? B sin B cos B cos² B
Lsin² C sin C cos C cos? CJ
Show that det M = sin(A – B) sin(B – C) sin(C – A)
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Transcribed Image Text:2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos C cos? CJ Show that det M = sin(A – B) sin(B – C) sin(C – A) - -
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