How to graph the cosecant graph

How to graph the cosecant graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the cosecant function by using the sine function as a reference. It begins with a review of the sine graph, identifying critical points and amplitude. The tutorial then transitions to graphing the cosecant function, highlighting the importance of asymptotes due to undefined values at certain points. The final section demonstrates how to complete the cosecant graph by erasing the sine graph and focusing on the cosecant's unique shape.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the cosecant and sine functions?

Cosecant is the reciprocal of sine.

Cosecant is the derivative of sine.

Cosecant is the inverse of sine.

Cosecant is the reciprocal of cosine.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a critical point for the sine function?

3π/4

π/2

π/4

5π/6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the sine function?

1

0

2

Undefined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the Y values when transitioning from sine to cosecant?

They remain the same.

They become undefined at certain points.

They double.

They halve.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is created at points where the cosecant function is undefined?

Intercepts

Asymptotes

Maxima

Minima

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of the cosecant function relate to the sine graph?

It overlaps completely.

It mirrors the sine graph.

It uses the sine graph as a guide but does not overlap.

It is perpendicular to the sine graph.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the initial period of the cosecant graph resemble?

A straight line

A circle

A parabola

A square