4. Graphing Trigonometric Functions

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

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