cassidy 0 Posted October 29, 2005 Is there any way to tell the difference between a cos graph, and a shifted sin graph that goes through (0,1)? In a test we were given a graph and asked to give the equation. I called it a shifted sin graph, but could it have been either? Share this post Link to post Share on other sites
youbroughtheryouRiker 2 Posted October 30, 2005 If it was y=(sin x) + 1, then it's not a cos graph. Or y= -((sin x) -1) Typically, they look the same. If the inflection doesn't reverse around the x axis, then it's definitely a shifted sine wave. I'd have to see the question to be certain though. Share this post Link to post Share on other sites
v_seven 0 Posted October 30, 2005 B) I thought I was good at math, but not any more! Share this post Link to post Share on other sites
cassidy 0 Posted October 30, 2005 i thought it could either be: - cos 3x or - sin 3(x+pi/6) but that's just from memory Share this post Link to post Share on other sites
TrekkieMage 0 Posted November 1, 2005 If it was y=(sin x) + 1, then it's not a cos graph. Or y= -((sin x) -1) Typically, they look the same. If the inflection doesn't reverse around the x axis, then it's definitely a shifted sine wave. I'd have to see the question to be certain though. That sounds right. Or it could be the integral of sin(x)...What level math are you in? Share this post Link to post Share on other sites
LordOfTheBorg 1 Posted November 2, 2005 *falls off chair* I'm not gonna be to good at math when i get that level! Share this post Link to post Share on other sites
cassidy 0 Posted November 2, 2005 If it was y=(sin x) + 1, then it's not a cos graph. Or y= -((sin x) -1) Typically, they look the same. If the inflection doesn't reverse around the x axis, then it's definitely a shifted sine wave. I'd have to see the question to be certain though. That sounds right. Or it could be the integral of sin(x)...What level math are you in? year 11. what's the curriculum like in the US? we do cubics, bit of quadratics, diff and antidiff, logs and expo, unit circle and other trig, and that's about it Share this post Link to post Share on other sites
Chataeya 0 Posted November 2, 2005 :blush 2: OMG! Do I feel " Left Behind" ! :angry: Share this post Link to post Share on other sites
Yillara Skye 1 Posted November 2, 2005 (edited) If it was y=(sin x) + 1, then it's not a cos graph. Or y= -((sin x) -1) Typically, they look the same. If the inflection doesn't reverse around the x axis, then it's definitely a shifted sine wave. I'd have to see the question to be certain though. That sounds right. Or it could be the integral of sin(x)...What level math are you in? year 11. what's the curriculum like in the US? we do cubics, bit of quadratics, diff and antidiff, logs and expo, unit circle and other trig, and that's about it Sounds a little like you are doing either Pre Calculus or beginning year Calculus (I did Pre Calc in my senior year of HS, and once again at the college level in my freshman year. Calculus I, I took at the end of my freshman - beginning sophomore year of college. Would have taken it earlier, but chickened out a bit because I intensely disliked geometry in my freshman year of HS. I was terrified that Calc would be just like that course... but it really was not too bad. Still prefer my sciences though). Though that type of question does pop up in Trigonometry or Analytic Geometry (which I took in the 11th grade, and in college they combined them with Calculus classes...so it is like taking two or even three classes at once). Sounds actually almost like you are taking this type of class more than the calc. For the record, I liked Trig & Analyt Geometry and Calc III better than Calculus I & II Also I agree with youbroughtheryouRiker & Trekkie Mage. it does sound right. Edited November 2, 2005 by Yillara_Skye Share this post Link to post Share on other sites
gdog243 0 Posted November 2, 2005 I used to be good at this stuff. Unfortunatly that was like 4 years ago, but I am planning to take a calculus class in the spring which will hopefully have this all come back to me. Share this post Link to post Share on other sites
KIMIMELA 1 Posted November 2, 2005 I used to be good at this stuff. Unfortunatly that was like 4 years ago, but I am planning to take a calculus class in the spring which will hopefully have this all come back to me. is calculus an american form of math>? Share this post Link to post Share on other sites
gdog243 0 Posted November 2, 2005 ^It's a kind of advanced math, dealing more with Analytic Geometry and Trig. Share this post Link to post Share on other sites
Data 0 Posted November 2, 2005 I used to be good at this stuff. Unfortunatly that was like 4 years ago, but I am planning to take a calculus class in the spring which will hopefully have this all come back to me. is calculus an american form of math>? It was invented by an Englishman. Share this post Link to post Share on other sites
Yillara Skye 1 Posted November 2, 2005 I used to be good at this stuff. Unfortunatly that was like 4 years ago, but I am planning to take a calculus class in the spring which will hopefully have this all come back to me. is calculus an american form of math>? Here is a link that has some of the equations and discussions of Calculus Calculus section at MathematicsWorld Share this post Link to post Share on other sites
KIMIMELA 1 Posted November 2, 2005 That looks hard. Share this post Link to post Share on other sites
cassidy 0 Posted November 4, 2005 That looks hard. once you've got your head around it, it's not too bad. how old are you, if i may ask? Share this post Link to post Share on other sites
KIMIMELA 1 Posted November 4, 2005 That looks hard. once you've got your head around it, it's not too bad. how old are you, if i may ask? 17 years old. Share this post Link to post Share on other sites
youbroughtheryouRiker 2 Posted November 4, 2005 I was taking calculus at age 16. I'm surprised you haven't heard of it before. Share this post Link to post Share on other sites
TrekkieMage 0 Posted November 4, 2005 I'm in BC Calculus for whoever asked...Just took my integrals/derivatives test o.O Calculus is the study of motion in mathmatics. It applies trig and functions with some more complicated stuff. It's really not too difficult so long as you start out with the basic stuff. Plus there are a lot of shortcuts (power rule, chain rule, quotient rule, product rule... ) Year 11? Hrm. And you're dealing with sin/cos...I'd guess it would be the something similar to algebra II/precalc/trig here. What subjects are you covering? Share this post Link to post Share on other sites
Col Vash Evans 0 Posted November 5, 2005 As I have seen in one of the prior responces to the question: I would need to see the actual graph to tell. a f(x)=sin x (0,0) Now a cos phased either direction of 1/2 Htz would resemble a sin wave. Sin x/1 would give you a scs. That would be a mirror image of the sine function. As both looke the same {f(x)=sin x ~ f(x)=cos x +- 1/2} in a graph form, either answer would be acceptible unless the instructor has given other boundries to the equation. If all else fails you, do attempt the proof. Share this post Link to post Share on other sites
cassidy 0 Posted November 7, 2005 As I have seen in one of the prior responces to the question: I would need to see the actual graph to tell. a f(x)=sin x (0,0) Now a cos phased either direction of 1/2 Htz would resemble a sin wave. Sin x/1 would give you a scs. That would be a mirror image of the sine function. As both looke the same {f(x)=sin x ~ f(x)=cos x +- 1/2} in a graph form, either answer would be acceptible unless the instructor has given other boundries to the equation. If all else fails you, do attempt the proof. ta muchly! my teacher hasn't given us the test back. i still haven't finished calculus for the year, even though exams are coming up. since we have limited time to cover all the information, my teacher is skimming over it all, which is really bad considering some of the stuff is pretty tricky. like finding the area enclosed by a quadratic/cubic and the x-axis. Share this post Link to post Share on other sites
Yillara Skye 1 Posted November 8, 2005 i still haven't finished calculus for the year, even though exams are coming up. since we have limited time to cover all the information, my teacher is skimming over it all, which is really bad considering some of the stuff is pretty tricky. I know that feeling! It is pretty tough for fly over five chapters and you have to have a grasp on the concepts by the finals. We ran out of time and had to do double and triple integrals, introduction to Ordinary Differential Equations, surface area, Taylor and Maclaurin Series, Arc Length, Projections, 2 and 3 D graphing (equations of Ellipsoides, Hyperboloids and such, cylinders with one variable missing) Ordinary Diff Equations was not much better, we had a ton to go over and no time to finish. Euler, Improved Euler, Wronksian, Kramers Rule, Laplace Transforms and a few other topics all in maybe five class periods (the class only met once a week for 75 minutes for the semester) - like the Calc I, II & III it was a college class for me Share this post Link to post Share on other sites