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Calculus and Beyond Homework Help
Taylor development I don't understand
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[QUOTE="JulienB, post: 5462996, member: 574060"] [h2]Homework Statement [/h2] Hi everybody! In the middle of an exercise, our teacher suddenly wrote: [tex] sin(\frac{x}{y} sin y) = \frac{x}{y} sin y - \frac{1}{2} sin θ (\frac{x}{y} sin y)^2 [/tex] I don't get where does that come from? The closest I've managed to reach is: [tex] sin(\frac{x}{y} sin y) = \frac{x}{y} sin y - (\frac{x}{y} sin y)^2 \frac{x sin y}{6y} + O(x^5) [/tex] What is this θ? It doesn't show up neither before nor after that line :/Thanks in advance for your answers.Julien. [/QUOTE]
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Taylor development I don't understand
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