Sine Definition and 511 Threads

Homework Statement \int_0^{\infty} sin(ax) / sqrt(x) dx Homework Equations The Attempt at a Solution I thought of using integration by parts, but that gets me nowhere. I'm not sure how to go about this problem.

Homework Statement Find the Laplace transform of the pendulum equation. Homework Equations The pendulum equation: \frac{d^{2}\theta}{dt^{2}} + \alpha \frac{d \theta}{dt} + g \sin(\theta) = 0 s = \sigma + i \omega The Attempt at a Solution Taking the laplace transform I get...

So I know that sine of an angle is the side opposite of the angle in a right triangle divided by the hypotenuse. What i want to know is: if i have an angle in a right triangle how do i find the sides of the triangle so i can find Sine. I spent my study hall trying to figure it out and this is...

Homework Statement It is a really long word problem, but I only need help with integrating one part of the proble. Homework Equations I need to know how to integrate 2+5sin((4*pi*x)/(25)) The Attempt at a Solution I tried using the chain rule by first integrating the sin into...

The problem is finding the points of intersection for two given functions. f1=sin(-\pi*x) f2=1+cos(-\pi*x) I've plotted the functions using Maple. http://dl.getdropbox.com/u/12485/plot.png And I'm quite certain that to find the points of intersection, I have to set f1=f2 which...

Hello I have a question regarding DC offset addition. I have a sine wave of Peak amplitude 2V. Now i have a DC signal of 0.4v. How do i add this DC signal to my sine wave? Similarly I'm having another sine wave of 2Vpeak but phase shifted by 180 from the first one. Now again i have 0.4v DC...

What is Sine, and how do I calculate it?

This example is to show that a connected topological space need not be path-connected. S={ (t,sin(1/t)): 0 <t <= 1 } A={ (0,t): -1 <= t <= 1 } let T = S U A with the topology induced from R^2. I show T is not path-connected. Assume to the contrary that there exists a path p:[0,1]-->T with...

I seem to recall it is possible to change a wave's frequency, pattern, and amplitude by adding another wave to it. Is it possible to add a second wave to a Sine wave to turn it into a cosine wave of the same amplitude and how would you do this? I'm thinking if I had an amplitude 1 for the...

I am looking for the equation used to create the cam shape using a "modified sine curve". I am pretty sure the information is in the "Cam Design Handbook" by Harold A. Rothbart but I don't want to buy the book for just one equation. Any help would be appreciated.

Does anybody know what the pdf of a sine wave cycle is? Or perhaps how to derive it? The problem can be done numerically, but surely there is an analytic expression for this function? There is a numerical solution available at...

I was wondering about this the other day, and it is something that was left over in my head from a thread on Euler's identity from a few weeks ago. It's a bit hard to state, but I'll try to be clear. How do you show the relationship between derivatives of sine and cosine? Now, obviously...

Hello All: A project of mine requires a bi-directional inverter that will take a 12VDC (most likely) battery to single phase 120VAC pure sine wave for utility tie (mains power). I will also require the inverter to be able to rectify to utility's power to charge the battery as well. Since...

I have read the sine rule: It states--> sin A/a=sin B/b=sin C/c = 1/2R where R is circumradius. Now, a=2Rsin A b=2Rsin B c=2Rsin C For a triangle R is fixed. In an obtuse angled triangle, the side opposite largest angle is the longest(geomtrically) But the sine of an obtuse angle...

Can anyone tell me what is the sum of a finite series of Sines. \sum_{n=1}^N \sin^2 (n \phi) . I am going through a text and it gives it as (N+1)/2. I tried to derive it. The N comes out ok when you use the half angle identity but I can't figure out a general rule for the Cosines that appear

Hi all, I have to rewrite a serie into a fraction of hyperbolic sine but I am lost... My problem looks like this \Sigma_{n=0}^{\infty} exp(K*F)*exp(-F*B(n+0.5)) which can be rearranged into exp(K*F)/(sinh(FB/2) my problem is I cannot relate the serie...

How might I find the integral solution for the following: (Sorry for the poor notation) \intsinc(4x*\sqrt{(1-2/x)}) dx from -\infty to \infty

I know pi/2 = 90 degrees and that it's related but how do I express this?

Homework Statement Hi all. I have to find the half-range sine expansion of a function f(x) = 1 for 0<x<2. My question is: This function is not piecewise smooth, so why does the book ask me to do this?

I recently saw that the sine function could be approximated greatly by [1-(((2/pi)*x)-1)^2]^(pi/e) for the range (0,pi) does anyone have any other strange functions like this that may satisfy some of the other transcendentals? (It'd be nice to find out how to derive the above formula too)

Homework Statement I have been puzzling over this question for hours now. The centre of a wall clock is 180 cm above the floor. The hand of the clock that indicates the seconds is 20 cm long. The height, h cm above the floor, of the tip of the second hand, t seconds after midday, is...

1. The problem statement Derive the sine power series without using Taylor's formula.

Homework Statement The half-wave design may be represented as a portion of a sine function. Determine a sine function that models the half wave design, assuming that the origin is at the point (0,0). Express in the form y=asin(b(x-c))+d http://img231.imageshack.us/img231/3549/archpc5.jpg...

A bike has wheels with diameter 0.6m. The bike moves along the road at 6m/s. Determine an equation for the height of the the speck on the tire above the road as a function of time in t seconds. I think that the amplitude is 0.3 and my period is 0.6pi (circumference). Would there be any phase...

Homework Statement How do I calculate the min of a sine curve using derivatives? eg. y=sin(2pi/60) Homework Equations I know how to find the max - find the derivative of the sine equation and equal the derivative to zero. The Attempt at a Solution ^

Hey friends and Sir's , I am trying to understand simple concept that why sine waves are function of (t-(x/v)) x= position in x direction v= velocity of wave t= is time at any instant although i have read many articles on it but still unable to understand , any help will be great and...

in bsin30-85.7sin(theta)=0 How can I make theta the subject?

How are sine waves converted to current?? Im doing avionics in physics at the moment and we are talking about receivers... i now that the resonate oscilates at certain frequency and the antenna picks up the sine waves that are at the frequency... but how are they then turned into current...

[SOLVED] Complex Variables. Problem about complex sine. Homework Statement Proof that the function \begin{displaymath} \begin{array}{cccc} f: &A=\left\{z\in\mathbb{C}\mid-\frac{\pi}{2}<\Re z<\frac{\pi}{2}\right\} &\longrightarrow &B=\mathbb{C}-\left\{z\in\mathbb{C}\mid...

If cosine is equal to -12/13... Find sine and tangent in Quadrant If cosine is equal to -12/13... Find sine and tangent in Quadrant Two... What is the answer??

Homework Statement Determine the RMS value of fullwave rectified sine wave.Homework Equations RMS = \sqrt{({1}/{b-a})\int^{b}_{a}[(fx)]^{2}dx} The Attempt at a Solution Notes: The Period of a full wave rectified sine wave is pi. a=0 b=pi Let's do square root at the end. =1/pi...

Find \mathop {\lim }\limits_{x \to 0} \frac{{\tan (nx) - n\tan (x)}} {{n\sin (x) - \sin (nx)}}

err probably skin too many q's but anyway... what type of waves are made from naturall sources?eg then sun etc...are theren any square waves...im just wandering ifn there's any weirdness or differences when using square waves as a carrier wave in transmitting...if u know any good info sources...

To show that cos-1(-x)-cos-1(x)=2sin-1(x) I tried take x= sina taking cos of the whole equation cos(cos-1(-x))-cos(cos-1(x))=2cos(sin-1(x)) now we have to prove : -x-x=2cos(sin-1(x)) LHS: -2x=-2sina=2cos(a+pi/2) RHS: 2cosa Iam not sure how to proceed further..can anyone help me...

[SOLVED] Finding sine and cosine formulas Homework Statement If sinx/siny = 1/2 and cosx/cosy = 3 prove: sin (x + y) = 7/3 sinx cosx Homework Equations sin (x + y) = sinx cosy = cosx siny The Attempt at a Solution Can someone please give me a hint so that I can start? Thanks.

Homework Statement an ellipse whose semi axes have lengths a and b rolls without slipping on the curve y =c sin (x/a), find the relationship between a, b, and c. Assume that the ellipse completes one revolution per period of the sine curve. The answer is b^2 = a^2 + c^2 and you find it by...

I need help on graphing cosine and sine functions. i know how to read a graph and come up with the equation but i don't know how to do it the other way around. i want to be able to graph something like y=-2+2cos0.5x

I'm not getting the right answers for sine, cosine and tangent functions. I have no idea why this is.

[SOLVED]Sine, Cosine and Tangent Trig Help I'm in 10th grade, I was just doing my homework when this dawned on me: How would one find Sine, Cosine and Tangent without a calculator. So if I am stuck in the desert with a stick I could find the Cosine of 73º by stick and sand method...

Homework Statement There is a right angled triangle, with the following angles, a, b, and 90deg. If a < b, how many different values are there among the following expressions? sin a sin b, sin a cos b, cos a sin b, cos a cos b Homework Equations The Attempt at a...

I have a question that says: prepare a table of values and plot the graph for the domain (-pie,pie) for the function f(x)=2sin(2x) I understand how to do that for y=sinx, but for this function the wave compresses horizontally and stretches vertically so isn't the domain now (-pie/2,pie/2) and...

I have a question that says: prepare a table of values and plot the graph for the domain (-pie,pie) for the function f(x)=2sin(2x) I understand how to do that for y=sinx, but for this function the wave compresses horizontally and stretches vertically so isn't the domain now (-pie/2,pie/2) and...

I am having trouble understanding when to use sine and cosine to find x and y components. I know that its not always going to be the same (ex. you won't always use cosine to find x component.) Any input would be appreciated!

What is a wavefront? Huygen's principle says that every point on a wavefront acts as a source of wave with the same speed. Now I am not asking you what that means, but i don't understand what a wavefront is. Is that like a circle? But wave is usually like a sine or cosine graph, so what's the...

I've stumbled upon what might be a geometrical interpretation of Taylor's series for sine and cosine. Instead of deriving the Taylor's series by summing infinite derivatives over factorials, I can derive the same approximation from purely geometrical constructs. I'm wondering if something...

So I was having a conversation with the guy I share an office with and I brought up the gaussian distribution to show the probability distribution of energies of electrons generated by a filament. He mentioned that it 'looks like a sine wave', and I said 'sorta, but it's not a sine wave'. He...

Homework Statement Guy records data of person using a swing. Comes up with an equation to show his findings: y = 1.6sin(1.8x - 0.9) + 2.5 What does each number represent in relation to the situation (person swinging)? Homework Equations Don't think any equations are needed for...

Trying to create a sine wave. Any oscillator or chips that do it? Looking at 100kHz. Seems like most of the oscillators i find put out 0~3.3/5V square wave. But i am m looking for -2.5~2.5V 100kHz sine wave output. I would think the chips create the square wave by taking the sine wave and...

Homework Statement I'm trying to figure out what the expression of a series of sine equations would be. The problem deals with a series of masses attached by springs. In an equation describing the energy at a specific mass in the structure there is an expression that looks like this: -...

Homework Statement Integral((sin(x))^2((cos(x))^2) dx Homework Equations The Attempt at a Solution Seperate Cos (x)^3 sin(x)^2 (cos(x))(cos(x))^3 Then:apply identities sin(x)^2(cos(x))(1-sin(x)^2) And now I am lost!:eek: Thanks Alot!