The Wallis product for pi, proved geometrically

The Wallis product for pi, proved geometrically

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

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The video explores the Wallis Product, a famous infinite product for pi, and presents a novel proof. It delves into the geometric and algebraic interpretations, using complex numbers and roots of unity. The video also generalizes the Wallis Product to derive a formula for sine, connecting it to Euler's work on the Basel problem. The content is enriched with visual aids and concludes with a mention of a partnership with Udacity.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the distance product and the number of lighthouses?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of how the Wallis Product approaches pi divided by 2.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of limits play a role in the proof of the Wallis Product?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the sine function in relation to the Wallis Product?

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