Questions: Find the period and frequency of a sine function from its graph. Examine the graph. What is the period of the function? 2 π/2 π 2π

Transcript text: Find the period and frequency of a sine function from its graph. Examine the graph. What is the period of the function? 2 $\frac{\pi}{2}$ $\pi$ $2 \pi$

Solution

Solution Steps

Step 1: Analyze the graph

The period of a sine or cosine function is the horizontal distance it takes for the graph to complete one full cycle. We can measure this from peak to peak, trough to trough, or any other corresponding point on the graph to the next instance of that corresponding point.

Step 2: Determine the period

Looking at the graph, one full cycle begins at $x = 0$ and appears to end at $x = 2\pi$. This means one full cycle takes $2\pi$ units.