Explaining Wave Superposition with DESMOS, an online graphing calculator

Superposition , or the adding of waves, can be demonstrated and explained by using Desmos a powerful online graphing calculator.
This video explains the principles on how to use Desmos as well as the basics of understanding the wave equation. Using Desmos you can show superposition in real time, ie as a function of time.
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[@dylan7476]

Desmos is keeping me alive in maths, even through university engineering lmao

[@pralay1762]

Sir I you won’t believe I just finished this topic and this video gave me a lot of clarity Thanks a lot

[@fioscotm]

Very helpful and informative video! Thank you for making this :)

[@physics77guy]

this is how i teach transformations in sine functions in my class

[@donegal79]

excellent. Well done

[@OutMagic]

Very much thank you mate, helped me understand how to use the tool better for my class :)

[@PhysicsHigh]

Great!

[@leejohnson197733]

i have one more formula to add together now and not sure how to do it, 4cos (2pi 125 x 10^3t) + cos (2pi135 x 10^3t) + cos (2pi115 x 10^3t) on the last one i changed the t for x and it seemed to work, not sure how to do this one ?

[@leejohnson197733]

i am completely new to desmos and graph software, i need to plot some cosines but im not sure how to get the formula into the software, 4cos(2pi 125x 10^3t) i assume the last part is the time scale, any advice, cant seem to get it to create the wav form

[@NKY5223]

could you describe your problem in greater detail? thank you :)

[@leejohnson197733]

@@NKY5223 i have 2 wav forms / formulas that i managed to map, now i need to multiply the two together to map a new wave form to look at, just not sure how to do the combination of the two waves

[@NKY5223]

@@leejohnson197733 if you have f(x) = a wave and g(x) = another wave you can just type f(x)g(x) to multiply them :)

[@leejohnson197733]

@@NKY5223 i have 2 formulas that create a wav output, then i need to multiply the 2 to get a new wav output, little unsure how to get the new equation and have it show the wave in graph form

[@NKY5223]

@@leejohnson197733 what expressions are currently in a graph? can you list them for me?