### Question 4**What is the period of \( y = \sin 4x \) ?**Options:a) \(\frac{\pi}{4}\)b) \(\frac{\pi}{2}\)c) \(\frac{4}{\pi}\)d) \(\pi\)e) \(2\pi\)#### Explanation:To find the period of the function \( y = \sin 4x \):1. Recall the general form for the period of \( y = \sin (bx) \) which is \( \frac{2\pi}{b} \).2. In this case, \( b = 4 \).3. Therefore, the period \( T \) is calculated as: \[ T = \frac{2\pi}{4} = \frac{\pi}{2} \]Thus, the correct period of the function \( y = \sin 4x \) is \(\frac{\pi}{2}\).Therefore, the correct answer is \( \frac{\pi}{2} \).---The questions appear to be part of an online assessment or quiz sequence, as indicated by the numbered steps at the top (1 through 15), with the current question being number 4.---For more mathematical tutorials and quizzes, explore our extensive content on [Educational Website Name].

Name: ### Question 4**What is the period of \( y = \sin 4x \) ?**Options:a)
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ### Question 4**What is the period of \( y = \sin 4x \) ?**Options:a) \(\frac{\pi}{4}\)b) \(\frac{\pi}{2}\)c) \(\frac{4}{\pi}\)d) \(\pi\)e) \(2\pi\)#### Explanation:To find the period of the function \( y = \sin 4x \):1. Recall the general form for