Graphing Cotangent with a Phase Shift

Graphing Cotangent with a Phase Shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the function y = 2 cotangent of X + π/2. It covers the concepts of amplitude and period, noting that cotangent and tangent do not have an amplitude. The period for cotangent is π/B, and the video demonstrates how to calculate the X scale and determine the start and end points for graphing. The tutorial also explains the placement of asymptotes and critical points, and how the coefficient affects the graph's shape. The video concludes with a demonstration of graphing two periods of the cotangent function.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding the X scale for the cotangent function.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the graph of the cotangent function behave as it approaches its asymptotes?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the critical points in the context of graphing the cotangent function?

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