4. Graphing Trigonometric Functions

What is the period of the basic cosecant function $y=\csc \left(x\right)$?

Which of the following describes the graph of the function $y=2.5\sec (x-5)$?

Below is a graph of the function $y=\(\sec\[\left\)(bx-\(\pi\]\right\))$. Determine the value of b.

Below is a graph of the function $y=\(\csc\]\left\)(bx\(\right\))$. Determine the value of b.

Graph two periods of the given cosecant or secant function.

y = 2 csc x

Graph two periods of the given cosecant or secant function.

y = 3 sec x

Graph two periods of the given cosecant or secant function.

y = sec x/2

Use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.

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Use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.

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In Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.

In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 3 csc x