Abstract
There are many studies to approximate to sine curve or sine wave. In this study, it has been examined the way how the sine wave can be written as any order Bezier curve. First, it has been written the 5th and the 7th degree Maclaurin series expansion of the parametric form of sine curve. Also, they are 5th and the 7th order Bezier paths, based on the control points with matrix form in E2. Hence it has been given the control points of the 5th and the 7th order Bezier curve based on the coefficients of the 5th and the 7th degree Maclaurin series expansion of the sine curves in three steps. Further it has been given the coefficients based on the control points of the 5th and the 7th order Bezier curve too.
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