Question
What is the period of y = sin 4x ?(1 point) Responses π2 pi over 2 π pi 3π2 3 pi over 2 2π
Answers
GPT-4o mini
The period of the function \(y = \sin(kx)\) is given by the formula:
\[
\text{Period} = \frac{2\pi}{|k|}
\]
In the function \(y = \sin(4x)\), the value of \(k\) is 4.
Therefore, the period is:
\[
\text{Period} = \frac{2\pi}{4} = \frac{\pi}{2}
\]
So, the correct response is \(\frac{\pi}{2}\).
\[
\text{Period} = \frac{2\pi}{|k|}
\]
In the function \(y = \sin(4x)\), the value of \(k\) is 4.
Therefore, the period is:
\[
\text{Period} = \frac{2\pi}{4} = \frac{\pi}{2}
\]
So, the correct response is \(\frac{\pi}{2}\).