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Chapter 0: Problem 50

Period In Exercises \(49-52,\) find the period of the function. $$y=7 \tan 2 \pi x$$

Short Answer

Expert verified
The period of the function \(y=7 \tan 2\pi x\) is \(\frac{1}{2}\).

Step by step solution

01

Identifying the basic function and its coefficient

The basic function is tangent, which has a default period of \(\pi\). The coefficient before \(x\) in this function is \(2\pi\). Therefore, \(p = \pi\) and \(b = 2\pi\).
02

Applying the formula to find the period

Using the formula \(Period = \frac{p}{|b|}\), and substituting \(p = \pi\) and \(b = 2\pi\), we find the period of the given function: \[Period = \frac{\pi}{|2\pi|} = \frac{1}{2}\].

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