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Answer correctly with detail. You may have seen in previous courses the statement for angles theta near zero, sin theta can be approximated by theta.

Answer correctly with detail.

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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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