l'm left to figure out if equations are homogeneous or not.
l do know that a method would be to convert the function from f(x,y) to f(tx,ty). Afterwards l would symplify the equation and try to get my answer to be f(tx,ty) = t^n(f(x,y))
Of course it takes trig... to trigger me! (bum dum tss!)
Anyways, l have the equation:
f(x,y) = tan (x + y)
Anyone think they can help me UNDERSTAND?
(HSC got so triggered that he has been on this problem for 30 mins. Don't be HSC, and actually take notes instead of falling asleep.)
Sorry HSC I have no idea. This is probably one for Heuraka or Alan ....
I just watch a Khan Academy youtube clip on homogenous equations but it didn't help with your question :(
The function is homogeneous if f(tx,ty) = f(x,y) where t is any number.
Do you think tan(tx + ty) = tan(x + y) or not?
Thanks guys... turns out the problem was not homogeneous at all.
You could not distribute "t" out of tan(tx + ty).
That being said it could not fufill f(tx,ty)= t^n(f(x,y))