Learn How to Graph the Cosecant Function with a Phase Shift and Vertical Shift

Learn How to Graph the Cosecant Function with a Phase Shift and Vertical Shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the cosecant function by first graphing its reciprocal, the sine function. It covers the necessary transformations, including amplitude, period, vertical translation, and phase shift. The tutorial provides step-by-step instructions on calculating these transformations and applying them to graph the function. It also highlights the importance of identifying asymptotes and finalizing the graph's shape.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in graphing the cosecant function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the amplitude of the sine function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the period of the sine function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the vertical translation in the given sine function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the phase shift affects the graph of the sine function.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the intercepts of the sine function and the asymptotes of the cosecant function.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you graph the cosecant function after determining the sine function's graph?

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