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10/13/2024 · High School
2.1.2 \( y=\cos ^{5} 2 \pi x \cdot \sin ^{3} 2 \pi x \)
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The function \( y = \cos^5(2\pi x) \cdot \sin^3(2\pi x) \) is periodic with a period of 1. Its maximum value is 1 and minimum value is 0. Critical points are at \( x = n/2 \) and where \( \tan(2\pi x) = \pm \sqrt{\frac{3}{5}} \).
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