How to find the range of the sine and cosine graph

How to find the range of the sine and cosine graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concepts of domain and range in functions, focusing on sine and cosine. It uses the unit circle to evaluate these functions, highlighting the importance of angles and the radius. The tutorial demonstrates graphing sine and cosine, emphasizing the range of these graphs, which is between -1 and 1. It concludes by summarizing the range of trigonometric functions, including cotangent.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of domain in the context of functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the unit circle when graphing sine and cosine functions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the maximum and minimum output values for the sine and cosine functions based on the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the graph of the sine function behaves from 0 to 2π.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the output values of the cotangent function compare to those of sine and cosine?

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