Students learn about the geometric meaning of the amplitude and period parameters in the sine function. They also practice sketching the sum of two functions by hand.
Sketch the following functions from 0 to L: \begin{align*} f_1(x) &= \frac{1}{4} \sin \frac{2\pi x}{L}\\[16pt] f_2(x) &= \frac{1}{2} \sin \frac{6\pi x}{L}\\ \end{align*}