The apex value of a wave is known as the Amplitude. The Period refers to the duration required for one full cycle of the wave to occur. The horizontal deviation of the wave, which indicates the extent to which the wave is horizontally shifted from its original position, is referred to as the Phase Shift.
| Topic | Problem | Solution |
|---|---|---|
| None | Determine Min and Max from Trig Equation Score: $… | Define the function \(f(x)=-6 \cos 3x+2\). |
| None | Determine the midline of the following function: … | Determine the midline of the following function: \(y=-\sin \left(\frac{1}{2} x\right)-8\) |
| None | Determine the vertical shift of the following fun… | Determine the vertical shift of the following function: \(y=-2 \sin \left(\frac{3}{4} x\right)-6\) |
| None | The temperature during the day can be modeled by … | The temperature can be modeled by a sinusoidal function of the form \(T(t) = A \sin(B(t - C)) + D\)… |
| None | The temperature during a day can be modeled by a … | The temperature during a day can be modeled by a sinusoidal function. The sinusoidal function can b… |
| None | What is the period of the function $y=\sin 3 x$ ?… | The period of a sine function is given by the formula \(2\pi/n\), where \(n\) is the coefficient of… |
| None | Graph the following function over a two-period in… | The period of a cosine function is given by \(\frac{2\pi}{|b|}\) where \(b\) is the coefficient of … |
| None | Graph the following function over a two-period in… | The graph of $y=\frac{1}{5} \cos \frac{\pi}{2} x$ passes through one full period as $\frac{\pi}{2} … |
| None | Graph the following function over a two-period in… | First, we need to find the period of the function. The period of a function of the form \(y = a \co… |
| None | $F(x)=3 \cdot \cos 2=\frac{\pi}{3}$ | \(F(x) = 3 \cdot \cos 2x = \frac{\pi}{3}\) |