Graphing Cosecant with a Change in the Period

The video tutorial explains how to graph the cosecant function using the sine function as a reference. It covers the reciprocal relationship between sine and cosecant, the steps to graph the sine function, and how to use it to plot the cosecant graph. The tutorial also discusses the importance of identifying asymptotes and how they affect the graph. Finally, it demonstrates how to finalize the cosecant graph by removing the sine graph used as a guide.

What is the relationship between the cosecant and sine functions?

• Cosecant is the integral of the sine function.

• Cosecant is the inverse of the sine function.

• Cosecant is the derivative of the sine function.

• Cosecant is the reciprocal of the sine function.

How do you determine the amplitude of a sine function?

• By taking the absolute value of the coefficient of the sine function.

• By finding the maximum value of the function.

• By dividing the period by four.

• By calculating the distance between the maximum and minimum values.

What is the period of the sine function when the coefficient of X is π?

• π

• 2

• 2π

• 1

What is the purpose of finding the X scale in graphing the sine function?

• To identify the Y-intercept.

• To calculate the period of the graph.

• To find the distance between critical points.

• To determine the amplitude of the graph.

What happens at the points where the sine function equals zero when graphing the cosecant function?

• The graph intersects the X-axis.

• The graph reaches its maximum value.

• The graph reaches its minimum value.

• Vertical asymptotes are created.

How does the cosecant graph behave near the vertical asymptotes?

• It approaches the asymptotes in a linear fashion.

• It forms a parabola shape approaching the asymptotes.

• It remains constant near the asymptotes.

• It intersects the asymptotes.

What is the final step in graphing the cosecant function?

• Identify the X-intercepts of the cosecant function.

• Determine the amplitude of the cosecant function.

• Calculate the period of the cosecant function.

• Erase the sine graph used as a reference.