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In elementary trigonometry, you probably learned the law of cosines for a triangle of sides a, b, c, that c²= a²+ b² - 2abCose, where 0 is the angle between the sides a and b. Show that the law of cosines is an immediate consequence of the identity (a+b)² = a² + b² + 2ã⋅ b

In elementary trigonometry, you probably learned the law of cosines for a triangle of sides a, b, c, that c²= a²+ b² - 2abCose, where 0 is the angle between the sides a and b. Show that the law of cosines is an immediate consequence of the identity (a+b)² = a² + b² + 2ã⋅ b

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In elementary trigonometry, you probably learned the law of cosines for a triangle of sides a, b, c, that c²= a²+ b² - 2abCose, where 0 is the angle between the sides a and b. Show that the law of cosines is an immediate consequence of the identity (a+b)² = a² + b² + 2ã⋅ b
Transcribed Image Text:In elementary trigonometry, you probably learned the law of cosines for a triangle of sides a, b, c, that c²= a²+ b² - 2abCose, where 0 is the angle between the sides a and b. Show that the law of cosines is an immediate consequence of the identity (a+b)² = a² + b² + 2ã⋅ b
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