How do we create the graph of the cotangent function

How do we create the graph of the cotangent function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the tangent and cotangent functions, focusing on their values and graphs. It starts with a review of tangent as y/x and introduces cotangent as its reciprocal, x/y. The instructor discusses how to find cotangent values on the unit circle, noting when they are undefined. The video then demonstrates graphing the cotangent function, highlighting key points like asymptotes and x-intercepts. The period of the cotangent graph is explained, emphasizing its repetition every π. The tutorial concludes with a focus on the important points for understanding the cotangent graph.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between tangent and cotangent functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the cotangent of 0 is undefined.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the values of cotangent change at π/4 and π/2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the behavior of the cotangent graph around its asymptotes.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the period of the cotangent function and how is it determined?

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