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University of Southern California

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Problem 52

Period In Exercises $49-52,$ find the period of the function.

$$y=\csc 4 x$$

Answer

( SEE SOLUTION )

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## Discussion

## Video Transcript

the problem asks us to find the period of the following function. Why equals coast? He cant of four x Now when we want to calculate the period of the coast, he can function. All we have to do is use the following formula Period equals to pie over the absolute value of being Where bee in this instance is that term that's adjacent to X are independent variable inside of our trick in a metric function. So since in this case, B equals four, we simply have to write to pi divided by four equals R period and upon simplification and equals pi over too. So the period of Kosi can four x is pie.

## Recommended Questions

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$$y=\sec 5 x$$

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Period In Exercises $49-52,$ find the period of the function.

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Which function has a period of 4$\pi ?$

$$

\begin{array}{lllll}{\text { A. } y=\tan 4 \theta} & {\text { B. } y=\tan 2 \theta} & {\text { c. } y=\tan \frac{1}{2} \theta} & {\text { D. } y=\tan \frac{1}{4} \theta}\end{array}

$$

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Period and Amplitude In Exercises $45-48,$ determine the period and amplitude of each function.

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y=\cos (-0.4 x)

$$

Graphs of Trigonometric Functions with Different Periods Find the period, and graph the function.

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y=\csc 4 x

$$