Decide whether each statement is true or false. If false, explain why.

The tangent and secant functions are undefined for the same values.

Decide whether each statement is true or false. If false, explain why.

The graph of y = sec x in Figure 37 suggests that sec(-x) = sec x for all x in the domain of sec x.

Consider the function g(x) = -2 csc (4x + π). What is the domain of g? What is its range?

A rotating beacon is located at point A, 4 m from a wall. The distance a is given by

a = 4 |sec 2πt|,

where t is time in seconds since the beacon started rotating. Find the value of a for each time t. Round to the nearest tenth if applicable.

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t = 1.24

In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec x

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

In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −2 csc πx

In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −1/2 sec πx