Question
What is the period of y = sin 4x
Answers
GPT-4o mini
The period of the sine function \( y = \sin(kx) \) is given by the formula:
\[
\text{Period} = \frac{2\pi}{k}
\]
In your case, the function is \( y = \sin(4x) \). Here, \( k = 4 \).
Substituting \( k \) into the formula gives:
\[
\text{Period} = \frac{2\pi}{4} = \frac{\pi}{2}
\]
Therefore, the period of \( y = \sin(4x) \) is \( \frac{\pi}{2} \).
\[
\text{Period} = \frac{2\pi}{k}
\]
In your case, the function is \( y = \sin(4x) \). Here, \( k = 4 \).
Substituting \( k \) into the formula gives:
\[
\text{Period} = \frac{2\pi}{4} = \frac{\pi}{2}
\]
Therefore, the period of \( y = \sin(4x) \) is \( \frac{\pi}{2} \).