Law of Cosines The side lengths of any triangle are related by the Law of Cosines, c2 = a² + b² – 2ab cos 0. a a. Estimate the change in the side length c when a changes from a = 2 to a = 2.03, b changes from b = 4.00 to b = 3.96, and 0 changes from 0 = to 0 = 90 b. If a changes from a = 2 to a = 2.03 and b changes from b = 4.00 to b = 3.96, is the resulting change in c greater in 97 (small angle) or when 0 = magnitude when 0 20 20 (close to a right angle)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Law of Cosines The side lengths of any triangle are related by the
Law of Cosines,
c2 = a² + b² – 2ab cos 0.
a
a. Estimate the change in the side length c when a changes from
a = 2 to a = 2.03, b changes from b = 4.00 to b = 3.96,
and 0 changes from 0 = to 0 =
90
b. If a changes from a = 2 to a = 2.03 and b changes from
b = 4.00 to b = 3.96, is the resulting change in c greater in
97
(small angle) or when 0 =
magnitude when 0
20
20
(close to a right angle)?
Transcribed Image Text:Law of Cosines The side lengths of any triangle are related by the Law of Cosines, c2 = a² + b² – 2ab cos 0. a a. Estimate the change in the side length c when a changes from a = 2 to a = 2.03, b changes from b = 4.00 to b = 3.96, and 0 changes from 0 = to 0 = 90 b. If a changes from a = 2 to a = 2.03 and b changes from b = 4.00 to b = 3.96, is the resulting change in c greater in 97 (small angle) or when 0 = magnitude when 0 20 20 (close to a right angle)?
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