Graphing the Tangent Function with a Change of Period

Graphing the Tangent Function with a Change of Period

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the differences between tangent and cotangent graphs compared to sine and cosecant graphs. It covers the concept of period and asymptotes, emphasizing that tangent graphs do not have an amplitude and their period is π instead of 2π. The tutorial demonstrates how to calculate the new period and asymptotes when transformations are applied, such as multiplying and dividing the variable x. Finally, it shows how to graph the transformed tangent function with the new asymptotes, ensuring students understand the changes in the graph's appearance.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the period and the value of B in the tangent function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the new asymptotes after a transformation.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the endpoints of the tangent graph?

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