E1: Test the different waves without change of parameters. Rotate the frames and train your 3D perception of these functions.
E2: Study the formulas and develop a sense for the relation between formula and wave.
E3: Orient the tripod to optimize the spatial impression of the animated wave.
E4: Vary parameters and study the influence on the appearance of the wave.
E5: Change signs (+/-) in the formula and study the effect.
E6: Introduce power of periodics in the formula. What happens?
E7: Edit the formula arbitrarily and consider in advance how that should influence the wave.
E8: Superimpose waves of different speed (e.g. one with cox(bx-pt), the other one with cos(bx-cpt). Do that for different frequencies of the waves.
E9: Delete the animation term and use p as a free fourth parameter in your own formula.
E10: Consider which forms of waves you have observed at the beach, and try to reduplicate some as a formula.