Question

what is the period of the following function?
y = sin x
?π

Explanation:

Step1: Recall the period formula for sine function

The general form of a sine function is \( y = A\sin(Bx + C) + D \), and its period is given by \( \frac{2\pi}{|B|} \). For the function \( y = \sin x \), we can identify that \( B = 1 \).

Step2: Calculate the period

Substitute \( B = 1 \) into the period formula: \( \frac{2\pi}{|1|} = 2\pi \). So the coefficient of \( \pi \) is 2.

Answer:

2