Graphing the Cosecant Function

The video tutorial explains the relationship between cosecant and sine, emphasizing that cosecant is the reciprocal of sine. It guides students through graphing the sine function as a foundation for understanding the cosecant graph. The tutorial details the process of transforming the sine graph into a cosecant graph, highlighting the importance of identifying asymptotes where the sine graph intercepts the x-axis. The session concludes with finalizing the cosecant graph by removing the sine graph and ensuring the correct representation of asymptotes and reflections.

What is the relationship between cosecant and sine?

• Cosecant is the square of sine.

• Cosecant is the reciprocal of sine.

• Cosecant is the integral of sine.

• Cosecant is the derivative of sine.

What is the amplitude of a sine function with an equation of 3sin(x)?

• 4

• 1

• 3

• 2

How do you determine the period of a sine function?

• 2π divided by the coefficient of x

• π divided by the coefficient of x

• 2π times the coefficient of x

• π times the coefficient of x

What is the significance of the x-intercepts in the sine graph when graphing cosecant?

• They become the maximum points of the cosecant graph.

• They become the minimum points of the cosecant graph.

• They indicate the asymptotes of the cosecant graph.

• They are irrelevant to the cosecant graph.

Why is it important to graph more than two periods of the sine function?

• To simplify the graphing process.

• To make the graph look more complex.

• To avoid errors in the sine graph.

• To ensure accuracy in the cosecant graph.

What happens to the maximum and minimum points of the sine graph in the cosecant graph?

• They remain unchanged.

• They are reflected towards the asymptotes.

• They become the asymptotes.

• They are removed from the graph.

What is the final step in transforming a sine graph into a cosecant graph?

• Adjust the period.

• Change the amplitude.

• Add more periods.

• Erase the sine graph.