You may have seen in previous courses the statement "for angles theta near zero, sin theta can be approximated by theta." I first saw this in a physics class when we were talking about pendulums. This approximation of sin theta by theta was completely mysterious to me when I first saw it. (I hadn't had calculus yet.) The object in this discussion is to find out where this approximation comes from.
You may have seen in previous courses the statement "for angles theta near zero, sin theta can be approximated by theta." I first saw this in a physics class when we were talking about pendulums. This approximation of sin theta by theta was completely mysterious to me when I first saw it. (I hadn't had calculus yet.) The object in this discussion is to find out where this approximation comes from.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You may have seen in previous courses the statement "for angles theta near zero, sin theta can be approximated by theta." I first saw this in a physics class when we were talking about pendulums. This approximation of sin theta by theta was completely mysterious to me when I first saw it. (I hadn't had calculus yet.) The object in this discussion is to find out where this approximation comes from.
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