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How to Derive the Law of Cosines Formula

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How to Derive the Law of Cosines Formula

2 424 просмотра · 2 г. назад
GreeneMath.com
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2 424 просмотра · 2 г. назад
http://www.greenemath.com/ In this video, we will learn how to derive the Law of Cosines formula. We will draw an oblique triangle ABC and place it on the coordinate plane where the vertex B is at the origin. This will give us points (a, 0) and (c cos B, c sin B). We can then use the distance formula to find the distance between those two points. We will then simplify and manipulate our result to match the Law of Cosines Formula. Chapters: 00:00 Introduction 00:16 Understanding the notation 01:57 Labeling our image part 1 02:36 A common mistake with labeling (x, y) 03:43 Changing (x, y) to (c cos B, c sin B) 04:49 Plug into the distance formula 05:41 Square both sides 06:10 Simplify 07:30 Matching the Law of Cosines Join this channel to get access to perks:    / @greenemath