Student handout: Add Two Functions

Oscillations and Waves 2023
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.
  1. 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*}

  2. Sketch \(f_1+f_2\) from \(x=0\) to \(x=L\)

Author Information
Liz and Corinne
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Learning Outcomes