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Sine-cubed function

127 bytes added, 17:44, 26 August 2011
Key data
| [[period]] || <math>2\pi</math>, i.e., <math>360\,^\circ</math>
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| [[local maximum value]]s and points of attainment || All local maximum values are equal to 1, and they are attained at all points of the form <math>2n\pi + \pi/2</math>where <math>n</math> varies over integers.
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| [[local minimum value]]s and points of attainment || All local minimum values are equal to -1, and they are attained at all points of the form <math>2n\pi - \pi/2</math>where <math>n</math> varies over integers.
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| [[point of inflection|points of inflection]] (both coordinates) || All points of the form <math>(n\pi,0)</math>, as well as points of the form <math>(n\pi + \alpha, (-1)^n2\sqrt{2}/3\sqrt{3})</math> and <math>(n\pi + \pi - \alpha, (-1)^n2\sqrt{2}/3\sqrt{3})</math> where <math>\alpha = \arcsin(\sqrt{2/3})</math>where <math>n</math> varies over integers.
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| [[derivative]] || <math>x \mapsto 3\sin^2x \cos x</math>
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