Law of Cosines The side lengths of any triangle are
Chapter 10, Problem 39E(choose chapter or problem)
Law of cosines The side lengths of any triangle are related by the law of cosines.
\(c^{2}=a^{2}+b^{2}-2 a b \cos \theta\)
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 \(\theta\) changes from \(\theta=\pi / 3 \text { to } \theta=\pi / 3+\pi / 90\)
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 magnitude when\(\theta=\pi / 20\) (small angle) or when \(\theta=9\pi / 20\) (close to a right angle)?
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