When it comes to graphing sine and cosine functions, one needs to plot points that correspond to the values of these functions over varying angles. The graph of the sine function begins at 0 and fluctuates between -1 and 1. On the other hand, the cosine function's graph initiates at 1. Both of these functions are periodic, forming patterns that mirror waves, and they repeat every 2π radians or 360 degrees.
| Topic | Problem | Solution |
|---|---|---|
| None | The number of hours of daylight, $H$, on day $t$ … | The question asks for the number of hours of daylight on specific days of the year. We are given a … |
| None | Graph the function $y=3 \cos \left(\frac{1}{4} x\… | First, we need to identify the amplitude and the period of the function $y=3 \cos \left(\frac{1}{4}… |
| None | Applications of Sinusoidal Functions 2) A frog bo… | First, we need to find the circumference of the water wheel. Since the radius is \(2\) meters, the … |