Chapter 0.6, Problem 15E

(a)

To determine

To calculate : An appropriate viewing window to display two complete periods of the given trigonometric function.

Answer to Problem 15E

An appropriate viewing window to display two complete periods of the given trigonometric function is $\left(0,4\pi \right)\text{by}\left(-3,3\right)$ .

Explanation of Solution

Given information:

The function $y=\sec x$.

Calculation:

The period of $y=\sec x$ is $2\pi$ .

So the window should have length $4\pi$ .

Hence, the one possible window of graph can be written as $\left(0,4\pi \right)\text{by}\left(-3,3\right)$ .

(b)

To determine

To calculate : An appropriate viewing window to display two complete periods of the given trigonometric function.

Answer to Problem 15E

An appropriate viewing window to display two complete periods of the given trigonometric function is $\left(0,4\pi \right)\text{by}\left(-3,3\right)$ .

Explanation of Solution

Given information:

The function $y=\csc x$.

Calculation:

The period of $y=\csc x$ is $2\pi$ .

So the window should have length $4\pi$ .

Hence, the one possible window of graph can be written as $\left(0,4\pi \right)\text{by}\left(-3,3\right)$ .

(c)

To determine

To calculate : An appropriate viewing window to display two complete periods of the given trigonometric function.

Answer to Problem 15E

An appropriate viewing window to display two complete periods of the given trigonometric function is $\left(0,2\pi \right)\text{ by }\left(-3,3\right)$ .

Explanation of Solution

Given information:

The function $y=\cot x$.

Calculation:

The period of $y=\cot x$ is $\pi$ .

So the window should have length $2\pi$ .

Hence, the one possible window of graph can be written as $\left(0,2\pi \right)\text{ by }\left(-3,3\right)$ .