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[Urist Imiknorris]

Sin(x)^Cos(x)

According to every computer program I consult, I just broke math. What the hell?

http://www.wolframalpha.com/input/?i=sin%28x%29^cos%28x%29
nice graph

Eerily similar to tan x, just a lot more complicated.

Also fixed the link.

[Vector]

Or it could be that they end up wanting to raise things to an imaginary power.  I forgot about that one >.<

Crap, I don't even know what happens when you raise something to i.  Something to look into later today, I guess.

[Akura]

I just coded a function that does sin(x)^cos(x) in the RPGToolkit's scripting language(only thing I have at the moment, and I'm fairly good with it), and it worked fine. Input values of 25, 45, and 90 returned 0.458136, 0.782654, and 1 respectively. I'm not a very good math guy anymore, but I think that's right.

[KaguroDraven]

Kaguro tis sad becouse his dog ripped up the couch, spreding the insides everywhere.

[lordnincompoop]

How would y=x^y look?

[Mindmaker]

Isn't it just great when you have a father, which tells you how much of a failure you are to him every day?
I'm happy whenever he's not at home.

[Leafsnail]

How would y=x^y look?

It would only work for a few values, wouldn't it?  I mean, would it actually make a graph?

[Akura]

Exponential growth. On a graph, it'd look like a steep slope that eventually appears to(but never actually does) go straight up(or down, or left, or right, depending on the actual values used).

All this was in the math notes I took(some of the only ones I actually did take notes on) in high school, that my mother threw away .

[lordnincompoop]

OH GOD WHAT HAVE I DONE.

Spoiler: Formula (click to show/hide)

y=((x^pisin(pix)sin(x)^cos(x)^sin(x)^cos(x)pi x pi sin(pix) pi cos(x) pi i^x i^sin(x)^cos(x))/x^i^cos(i^cos(x)^sin(x)))^-16

[MaximumZero]

I...don't know. What have you done?

[Lumbajak]

Isn't it just great when you have a father, which tells you how much of a failure you are to him every day?
I'm happy whenever he's not at home.

Story of my life.

[KaminaSquirtle]

How would y=x^y look?

It would only work for a few values, wouldn't it?  I mean, would it actually make a graph?

Well, you could make part of a graph.  y has to be greater than 0 though, or else it only works for negative x and even y, and even then you wind up with imaginary numbers if you take y to be anything other than in integer.  You know, now that I think about what I just said, it simply doesn't work for any nonpositve real number y.  If we take y>0, though, then we can solve for x=y^(1/y), which we can graph.

OH GOD WHAT HAVE I DONE.

Spoiler: Formula (click to show/hide)

y=((x^pisin(pix)sin(x)^cos(x)^sin(x)^cos(x)pi x pi sin(pix) pi cos(x) pi i^x i^sin(x)^cos(x))/x^i^cos(i^cos(x)^sin(x)))^-16

WHY WOULD YOU EVEN DO SOMETHING LIKE THIS?

[Pillow_Killer]

How would y=x^y look?

It would only work for a few values, wouldn't it?  I mean, would it actually make a graph?

Well, you could make part of a graph.  y has to be greater than 0 though, or else it only works for negative x and even y, and even then you wind up with imaginary numbers if you take y to be anything other than in integer.  You know, now that I think about what I just said, it simply doesn't work for any nonpositve real number y.  If we take y>0, though, then we can solve for x=y^(1/y), which we can graph.

OH GOD WHAT HAVE I DONE.

Spoiler: Formula (click to show/hide)

y=((x^pisin(pix)sin(x)^cos(x)^sin(x)^cos(x)pi x pi sin(pix) pi cos(x) pi i^x i^sin(x)^cos(x))/x^i^cos(i^cos(x)^sin(x)))^-16

WHY WOULD YOU EVEN DO SOMETHING LIKE THIS?

I dont understand, it's not a real function, you just typed a buncha random shit, because this isnt valid and doesnt works.

[KaminaSquirtle]

How would y=x^y look?

It would only work for a few values, wouldn't it?  I mean, would it actually make a graph?

Well, you could make part of a graph.  y has to be greater than 0 though, or else it only works for negative x and even y, and even then you wind up with imaginary numbers if you take y to be anything other than in integer.  You know, now that I think about what I just said, it simply doesn't work for any nonpositve real number y.  If we take y>0, though, then we can solve for x=y^(1/y), which we can graph.

OH GOD WHAT HAVE I DONE.

Spoiler: Formula (click to show/hide)

y=((x^pisin(pix)sin(x)^cos(x)^sin(x)^cos(x)pi x pi sin(pix) pi cos(x) pi i^x i^sin(x)^cos(x))/x^i^cos(i^cos(x)^sin(x)))^-16

WHY WOULD YOU EVEN DO SOMETHING LIKE THIS?

I dont understand, it's not a real function, you just typed a buncha random shit, because this isnt valid and doesnt works.

It isn't a function, yes, however it is an equation like, for example, x^2+y^2=4, and part of it can be graphed.  So I told him what part can be graphed, the function which defines that part's graph, and why the other part can't be graphed.

[Urist Imiknorris]

OH GOD WHAT HAVE I DONE.

Spoiler: Formula (click to show/hide)

y=((x^pisin(pix)sin(x)^cos(x)^sin(x)^cos(x)pi x pi sin(pix) pi cos(x) pi i^x i^sin(x)^cos(x))/x^i^cos(i^cos(x)^sin(x)))^-16

Replace "y=" with "integrate " and watch your computer explode.