Hello im recently studying pure data and im not sure how trigonometric functions can be applied to audio, if someone could post an example or give me a link where i can find useful examples instead of a lot of theory that would help me understand, would be great.
also(a pretty dumb question) im not quite sure what a "remainder" is when using div and mod objects.
im sure these are quite noobish questions but i want to build a strong foundation so these doubts dont come later to bite me in the ass.

Hi - here is a partial answer to your first question. I'm just working through this myself so if anyone can add to this, please do. First, if you are not quite sure on the math here is a link -

. And second, the sine and cosine functions are used to generate sine waves. Sine waves can be used for all sorts of things - supposedly any sound, or a lot of sounds, can be created by combining sine waves. The attached patch should demonstrate how a sine wave is created using trig functions and then how different waveforms can be generated using multiples of a single sine wave.
I hope this helps.
Simon

that's a crummy sounding sine wave in my patch, but it should give you the basic idea

http://www.pdpatchrepo.info/hurleur/sine_function_demo.pd

THANKS this actually helps a lot!!!!!

i was unsure of why i should use sine and cosine objects, now i understand why its so important.
im a bit rusty on trigonometry so the video and the pd patch helped me remember a few things i forgot, do you know any books with exercises that can help me dig deeper so i can start working on building my own waveforms with trigonometry?
that khanacademy is great, id like to have more exercises if its not too much to ask.

this is going to make my synthesis theory into actually start building my custom synths and now im reaaaaally excited :D
exactly what i needed.

Hi - glad to help. Probably the first place to look for more information is the FLOSS manual on pd. That's a free PDF. If you can get the book, Designing Sound by Andy Farnell is excellent - or check out his website (search Obiwannabe.) Johannes Kreidler's book Programming Electronic Music in Pure Data is also a very good introduction (though it seems sometimes like it's missing a few pages) and is also on line as a free PDF. In general it seems that the information on Pd is scattered - you won't find all the answers in one place. There is a lot of academic writing about electro acoustic music - mostly at a fairly high level - don't let it discourage you!

im studying with Johannes Kreidler's book Programming Electronic Music in Pure Data so its good to know its a good source, ill definetly check out the other reccomendations.

i have a lot of books on sound and synthesis (which i can share of course) and ill be taking classes with other people, music is the only thing i do for a living so i pretty much have to understand all this haha, but its cool because i love it, i wouldnt change this for anything in the world, someday ill get to understand the high level material.

thanks again!