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Yes, and we don't need periodicity for that. Many functions output the same value for different inputs. Here's an example: f(x) = x^4 +...

You seem to be completely misunderstanding what a "function" is! You say "isn't [it] necessary for two function like sinx and...

Yes, you have to convert the currencies to one standard, because their relative amounts determine the weighting of the average. For...

0 + 1 + 234 + 5 \cdot 6 + 789 = 1052 9 \cdot 8 + 7 + 654 + 321 + 0 = 1052

0! + 123 + 4 \cdot 5 \cdot 6 \cdot 7 + 89 = 1053 987 + 6 + 54 + 3 + 2 \cdot 1 + 0! = 1053 Phewwww......worked hard on that one too!!

Hello Ryan$. It looks like you're sometimes mistyping the function's name sin as sinx. Also, I think it's best to use function...

Neglecting air resistance, the only force here is the force of gravity which, at the surface of the earth, gives a vertical acceleration...

I would convert angles to radians, and write (using the Law of Sines)...

HallsofIvy had a good post. The way the function sin(x) is defined makes it periodic. If you go around the unit circle once (an angle...

So we can have the same function with two different argument ? like sinx=sinx(x+180) and that's why called periodic? I mean periodic...

I have no idea what "superposition" means here. Are these "v"s vectors and you are referring to vector addition?

It doesn't seem to work in any case. Using a + b = 1 try out a = 2. Your expression is negative. If a \neq b then try a = 2, b = 3...

Okay, having proved the given identity, then we know...

Become an "expert": https://www.mathsisfun.com/algebra/completing-square.html

HallsofIvy had a good post. The way the function sin(x) is defined makes it periodic. If you go around the unit circle once (an angle...