Find the domain range and period for cosecant and secant functions

Find the domain range and period for cosecant and secant functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the concepts of unbounded graphs, focusing on the range and domain of sine, cosine, cosecant, and secant functions. It explains how these functions are graphed, their intervals, and the occurrence of asymptotes. The tutorial also covers the period and amplitude of these graphs, emphasizing the lack of maximum and minimum values. The session concludes with a brief introduction to an activity involving functions.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a function to be unbounded?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the sine and cosine graphs relate to their reciprocals?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the asymptotes for the cosecant function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of π intervals in the context of sine?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine the domain of the cosecant function?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the difference in the starting points of the sine and cosine graphs.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the period of the cosine function and how does it compare to the sine function?

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