Learn How to Graph the Cosecant Function with a Phase Shift

The video tutorial explains how to graph the function F(x) = 3 cosecant(x + π/2) by first graphing the related sine function. It covers the transformations needed for the sine graph, including amplitude, period, and phase shift. The tutorial then demonstrates how to use the sine graph to plot the cosecant function, highlighting the placement of asymptotes and the behavior of the graph at maximum and minimum points.

What is the amplitude of the function F of X = 3 sine of X + π halves?

Explain how to determine the period of the sine function.

What is the phase shift of the function F of X = 3 sine of X + π halves?

Describe the vertical transformation of the function F of X = 3 sine of X + π halves.

What happens to the graph of the sine function when the amplitude is increased?

How do you graph the cosecant function based on the sine function?

What is the relationship between the sine function and the cosecant function?