- #1

askmathquestions

- 65

- 4

https://en.wikipedia.org/wiki/Orthogonal_functions

Here's one example, but it's an example that is only true for a specific interval

https://www.wolframalpha.com/input?i=integral+sin(x)cos(x)+from+0+to+pi

So are these functions orthogonal because there simply exists *some* interval where their integral product is ##0?## Or, must the entire integral be identically ##0## over the entire domain? I'm confused. Are ##\sin## and ##\cos## always orthogonal or only sometimes orthogonal?