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anonymous
 5 years ago
is sinx a polynomial........?????????
anonymous
 5 years ago
is sinx a polynomial........?????????

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It can be written as an infinite series, so yes, a polynomial of infinite degree.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sinx isn't polynomial which only works for sin(x), is to notice that sin(x) has infinitely many zeroes  no polynomial or rational function has this many zeros.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know what a taylor series is, brah?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sin x = x  \frac{x^3}{3!} + \frac{x^5}{5!}  \frac{x^7}{7!} + ... \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When x is measured in radian.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sin x is a trigonometric function. A polynomial is in the form ax^n+bx^n1+...+cx+d A rational function is the quotient of two polynomials. e^x is not a rational function, but it is an exponential function because it is in the form a^x where is a constant, and e is a constant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Tian do you go to Cambridge? I do.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Use the taylor's polynomial for sin(x) to find the rates of convergence of the following Taylor expansion of sin(x) about x=0 is sin(x) = x  x^3 / 3! + x^5 / 5!  x^7 / 7! + ... so sin(x) / x = 1  x^2 / 3! + ... In the limit that x goes to zero, [sin(x)/x] = 1  (0)^2 / 3! + ... = 1 Second way...extra:) hehe Consider a trigonometric circle with its center O and a tangent to this circle at A Let M be any point on The ciricle, and project M on the xasis and name it H and let T be the tangent Thetha which is from A to T http://img534.imageshack.us/img534/1252/ … As you realize in the picture Area of Triangle OAT = half tan thetha and Area of triangular sector OAM = thetha / 2 and Area of OHM : sin thetha = MH /OM (where OM =1 cz its a trigonometic circle ) ==> MH = Sin thetha ==> Area of OHM = (sin theha cos theha) /2 Therefore we can conclude that Area of OHM is smaller than OAM which is smaller than triangle OAT ==> (sing thetha cos thetha) /2 < thetha/2 < (tan thetha) / 2 multiply this by ( thetha / sin thehta) ==> we get cos theha < thetha / sin thetha < 1/cos thetha let thetha tend to zero that is cos thetha = cos 0 = 1 ==> 1 < lim tetha /sin thetha as thetha goes to zero < 1+ ==> lim sin thetha / tjhetha as thjetha goes to 0 = 1 PS: Dont forget that lim sin thetha / thetha as thetha tends to zero = lim thetha / sin thetha as thetha tends to zero ! Hope i helped you :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I thought you said it wasn't a polynomial?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Then copypasted some random stuff that is vaguely related at the very most.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah I think sinx isn't polynomial by my first argument

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the point is that ..............my doubt is not clear yet........clear it!!!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Whatever. I'm not going to argue semantics.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think a polynomial should have a finite number of terms.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sinx isn't polynomial, sin(x) has infinitely many zeroes  no polynomial or rational function has this many zeros.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Actually, 0 is a polynomial and has infinitely many 0s...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0All we have to do to settle this is to check the definition of a polynomial.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sin x may not be a polynomial (in your baby, noncantab definitions), but the reasoning given is incorrect.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the power must be a whole numbr

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Whatever, I don't have time to argue with people who get their arguments of wikipedia and yahoo answers. this is like when 48/2(9+3) was asked. Yes, wolfram says something so it's right. People need to learn what REAL mathematicians do and stop this nonsense.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Polynomial has to be of finite degree, so I made a mistake (not that definitions change how I do mathematics, so it's irrelevant). But the person who argued with me copied their argument DIRECTLY from yahoo answers and made some glaring mistakes. I don't have time for this pellet any more.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it isn't a polynomial :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a polynomial is : f(x) = x^2 + 3 and etc. This is not :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0WOW.. did somebody kill somebody?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, why , who's dead ._.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sin(x) has infinitely many zeroes  no polynomial or rational function has this many zeros. ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sooooo, it's not a polynomial lol . I hope you're not confused sid :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0INew lol , cool down :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0STOP quoting some nobody off yahoo answers. 0 is a polynomial and has infinitely many 0s.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0._. I'm not , I'm talking

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0based on knowledge and experience. Hey it's okay to make mistakes, don't get all boiled up for a question, calm down

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u guys r more confuse thn me............

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0clear my doubt..........

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we apologize for the vagueness, just a second ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0INew, first calm down lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sin(x) has an infinite degree which (apparently) makes it not a polynomial. Also, it has infinite zeros, so can'y be a polynomial. Source: Yahoo answers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just because our answers sounded alike, doesn't mean we have copied them INew :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0many answers sound alike, and ofcourse they will since all lead to the same explanation and theorem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Maybe not yours, but the guy before copied 2 paragraphs directly, so please don't patronise me.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0fight..........killl..............

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh come on, let's not take it that way :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no sid, that's not my style, I take things calmly :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that guy is still onlyn!!!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright now, sid, read INew's post and tell me if you understood it or not okay?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My first post was wrong (apparently). But I didn't make a mistake, I just never needed to know the exact definition.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and INew, don't waste your energy in useless arguments, preserve it for better things ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0read the recent post made by INew :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So Newton, Could you write the exact definition down?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and thank you for your help tian ^_^ ,all of you have been a great help to sid, but let's calm down now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so finally.........sinx is a polynomial or not....with reasons!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, sin x is not a polynomial since it tends to go to infinity. A polynomial = has a finite number of zeros.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It doesn't go to infinity? It has an infinite number of terms.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0contradiction comes.........i m frustrated!!!!!!!!!!!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Example : \[f(x) = x^2 1\] = (x1)(x+1) where the zeros are x = 1, 1 < finite numbers of zeros but sin x keeps on oscillating b/w 1 and 1 and never stops, so that's why it's not a polynomial

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sid dear, calm down , don't panic :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(x) = 0 INFINITE NUMBER OF ZEROS BUT POLYNOMIAL OF DEGREE ZERO.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0LOL! INew shut the caps =D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0come to india .............and kill me!!!!!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'll slap you instead to wake u up

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, hush now, we're going to explain it, if you don't get me, then INew will explain it, if you don't get her , then someone else, alright? now hush LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0both of u ......as a unit...........give me the final nd the CORRECT answer!!!!!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0INEW, eat ICE CREAM and stay away from bananas!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lolzzzzzzz!!!!!!!!!!........sry 4 dat

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In mathematics, a BABY polynomial is an expression of finite length, containing variables and constants. The Fundamental Theorem of Algebra says that a BABY polynomial of degree n can be written as the product of n linear factors. Sin(x) is a taylor series of infinite length, and therefore not a BABY polynomial.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, I liked how you've put it "baby" polynomial, so sid do you get it now?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so sinx is not a polynomial bcos it has infinite roots!!!!!!!is it.......

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0NO. It is of an infinite degree, with an infinite number of terms. NOT because of infinite roots.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0same scenario as long as he got the picture lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But by your logic, f(x) = 0 isn't a polynomial.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0listen u guyz .....u may be a cambridgian or etc.etc........i m a scul going boy............new to maths..........dont kno so advance concepts...lyk taylor series.etc.etc

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Protip: Taylor series isn't advanced.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0INew, let's not get him into the series maze ._. from now, just simply explain it in a simple way LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am taking taylor series next week

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so, it's sorta advanced for him?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0at some point u guyz would also have been as i m today!!!!!!dont forget........

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright, listen If you plot a graph for sin x, you'll notice it oscillating between 1 and 1 and never stops, as in never dies, it goes to infinity On the other hand, when you plot a simple function such as f(x) = x^2 or f(x) = ax + bx + c ( which is a polynomial ) you'll have a line, parabola or curve. A polynomial is : (ax + bx + c), does sin(x) have this form? if yes, then it's a polynomial, if not, then it isn't.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did I make it easier? ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so now you tell me, is it a polynomial? :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x^2 goes to infinity.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, wait, did you understand what I have said?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sweet drms.............!!!!!1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0INew, you're right, >_< my bad lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what's with the long face? :) cheer up, he got it and you have given awesome "advanced" explanations, but it was too much for his level. I thought they were great ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Lol. I was wrong to start with, so rather than admit it, I spent pretty much the rest of the argument crying and pointing out tiny mistakes. Pretty disappointing, really.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well we're all humans, and we all make mistakes that we learn from right? :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0"Who hasn't made a mistake, hasn't tried anything new" Albert Einstein ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when you face such situations, yelling and screaming won't solve the problem, calm down and take it with reason :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0promise me no more overreacting?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Indeed. It's just, the first time I've been wrong, ever. Kind of a shock to the system. I'll try.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0again, human LOL, you should see MY mistakes. I subtract instead of adding and the vice versa LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, not anymore, just rarely happens now ^_^"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you make a mistake, fix it, period =P just no more cursing or any of that stuff lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We'll see. :D. One thing before this topic dies, in case you didn't see my correction, there is a little error here: 'if you don't get me, then INew will explain it, if you don't get *her*'

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you said that you were a she last time ._.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or were my eyes twisted x_x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hmm. I think I may have said it (sarcasticaly :( ). Hence my pseudonym (and real name, actually, if you can see it).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yeah, LOL. My dearest apologies ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0anyhow, I'm off to bed now, good night :) don't let me catch you cursing or overreacting next time =P
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