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To make this type of exercise practical, each graph has been enlarged and is available in PDF format. Hence our word "sine." [illustration source: George Gheverghese Joseph, The Crest of the Peacock: The Non-European Roots of Mathematics, new ed. (Princeton, NJ: Princeton University Press, 1991, 2000), p. 282.] Another set of trigonometric functions, tangent and cotangent, developed from the study of the lengths of shadows cast by objects of various heights. So let's make that substitution. y = a sin(theta).
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