Trigonometry : Graphing Secant and Cosecant

Study concepts, example questions & explanations for Trigonometry

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Example Questions

Example Question #14 : Trigonometric Graphs

This is the graph of what function of x?

https://www.varsitytutors.com/problem-admin/16159#problem_image_lightbox_2313

Possible Answers:

Correct answer:

Explanation:

https://www.varsitytutors.com/problem-admin/16159#problem_image_lightbox_2317

 is shown in red, and  is shown in blue.

Example Question #15 : Trigonometric Graphs

Give the equation of the following graph.

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Possible Answers:

Correct answer:

Explanation:

Looking at our graph, we can tell that the period is .  Using the formula 

 where  is the coefficient of  and  is the period, we can calculate 

This eliminates one answer choice.  We then retrun to our graph and see that the amplitude is 3.  Remembering that the amplitude is the number in front of the function, we can eliminate two more choices.

We then examine our graph and realize it contains the point .  Plugging 0 into our two remaining choices, we can determine which one gives us 4 for a result.

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