Sine Definition and 511 Threads

A sine wave with a frequency of 10Hz and an amplitude of 5 units phases from zero to 2π radians in a complete cycle. How long does it take for the phase to reach a value of π radians? y(t) = A . sin (2.π.f.t + φ) 0.1 = 5 x sin (2x∏x10x time + 3.14) time = 0.038 seconds But the answer...

Hey all! I have a question concerning the addition of 2 sine functions. Could anyone point me to the right direction as to what happens to the period and frequency when two sine functions are added together? Note: when adding, these two functions possesses two different frequencies. Thanks...

Hi, I want to calculate the amplitude of the following: V(t) = Acos(2wt)+Bcos(3wt)+Ccos(4wt)+Dcos(5wt) Not really sure what approach I can take to do this. I was thinking of using some combination of the double angle formula to simplify each part, but I don't think that will necessarily...

I tried to find the length of a sine curve using calculus.I got stuck in the integral of integral(sqrt(cos(x)^2+1), x, 0, a). Limits are from 0 to point a,i.e. length of curve from 0 to any point a.With some approximations I found out the length of sine curve as a result.I have attached the...

hello world. i am interested in a simple inverter circuit that would also be easily adjustable, i.e. frequency, amplitude. but i want to build using most general discrete circuit elements. NO integrated circuits NO comparators NO etc... just inductor, capacitor, resistor, DC supply ( any volt...

Homework Statement Solve for |θ1-θ2| Homework Equations cosθ1 + cosθ2 = 0 sinθ1 + sinθ2 = 0 The Attempt at a Solution This is a silly math problem within a larger question I'm working on. I have solved for it multiple times now using different trig identities and I get different answers...

Why on a oscilloscope does a.c current have a sine wave, whereas a d.c current is just a straight line. I've tried to look it up, but the explanations on the internet are a bit to complex for me to understand as i am only in my first year of alevel. If anyone could explain this to me, as simply...

Homework Statement f(x)= {1, ‐1/2<x≤1/2} {0, ‐1<x≤ ‐1/2 or 1/2<x≤1} State whether or not the function's Fourier sine and cosine series(for the corresponding half interval) converges uniformly on the entire real line ‐∞<x<∞ Homework Equations The Attempt at a Solution...

$y=\sin{2(x-\frac{\pi}{4})}$ how do you find the x intercepts of this thot if 0=sin(2x-(pi/2)) then 0=2x-(pi/2) since sin(0)=0 but doen't look it still don't know how to convert this to latex K

"Waves" of sine expression So, I have been working with a lot of Math today(sorry if I am asking so many questions), and I found and expression. All sine functions use radians. sin(y) + sin(y) / sin(y) Now, assuming you start with 1, if you were to plot y on a graph with variable x...

Homework Statement sin (90 - θ + λ) = sin90cos(θ + λ) - cos90sin(θ + λ) = cos(θ + λ) The book says cos(θ - λ) So are we both right and if so how can I manipulate mine to look like the books answer. Homework Equations The Attempt at a Solution

Homework Statement I have to graph this function without a calculator, and I'm not sure how to scale the x axis. y = 2 - sin(3x - ∏/5) Homework Equations y = Asin(Bx + C) Period = 2∏/B Phase Shift = -C/B The Attempt at a Solution I know that the graph will be reflected across the x...

I am having the hardest time attaching my brain to some sort of method to know when to use sine and cosine on force problems. What is an easy way of remembering which function to use to find the force in the direction of x and force in the direction of y?

Homework Statement solve the limit: \lim_{x\rightarrow1}\frac{sin(x-1)}{\sqrt{x}-1} The Attempt at a Solution Is there a way of how i can solve this without using l'hospital's rule or taylor series?

Homework Statement find ∫4cosx*sin^2 x.dx Homework Equations The Attempt at a Solution ∫4cos x * 1/2 (1 - cos2x) ∫2cosx - 4cos^2 x. Then i don't know whereto go from here??

1) Find the sine Fourier series of $f(x)=x(\pi-x),\,0\le x\le\pi$ and show that $\displaystyle\sum_{k\ge1}\frac{(-1)^k}{(2k-1)^3},\,\sum_{k\ge1}\frac1{(2k-1)^6}$ and $\displaystyle\sum_{k\ge1}\frac{\sin\big((2k-1)\sqrt5\pi\big)}{(2k-1)^3}$ and to show that...

what is the sine of "i" (initial value prob) Homework Statement What is the sine or cosine of i? does it make sense to ask what sine of root (-1) is? im asking because its from 2nd order DE: t^2y'' - ty' + y = 0...y(1) = 1 y'(1) = 1 when i rearrranged and determined omega it ended...

Hello guys i am very new to this forum. I am doing project in digital radio. can you tell me how to convert square wave into sine wave of frequency range 88 to 108 MHz. Thanks in advance.pls suggest me a circuit

integrate Sinh4(x) I have been struggling with this problem for a week. I know the answer because of wolfram but I cannot see how it gets it. Honestly, I can't even decide what to make my substitution as. I haven't really had problems with any other questions from our homework but this one and...

I've only taken one introductory class to DC circuits where we learned Ohms law and series parallel combined circuits. Now I'm in an introductory class to AC circuits and last night's entire lecture (first day of the semester) was just over my head. We didn't go over any fundamental concepts...

Hello, I am trying to work out how to determine the phase angle between two sine wave mathematically? I have setup a Matlab Simulink model and I would like to calculate the phase angle between my current and voltage (both at the same frequency) without using preprogrammed blocks, as i...

Hi, I want to verify if my answer to this problem I made up is correct? Suppose we have a plane z=x+y Lets find the magnitude of the volume of the space underneath the plane and over the REGION in the xy plane defined by y=sin(x), from 0<=x<=2pi. So for example, my definition of the...

Homework Statement What are the Fourier sine and cosine transformations of exp(5t)? Homework Equations Fc (ω) = (√(2/∏))∫exp(5t)cos(ωt)dt , (between boundaries of infinity and zero) The Attempt at a Solution When I try to integrate by parts I just end up going round in...

Homework Statement Homework Equations The Attempt at a Solution I don't see how the textbook gets from step 1 to step 2. If anything, the cosines cancel and the answer should be (sine^2)x

I have to calculate the RMS and average voltage of a sine wave with a DC offset. I have a peak to peak voltage of 11V and an offset which is -6V. I have the average voltage as -6V and RMS voltage as 7.15V. I calculated the RMS as follows: AC Vrms = 5.5/sqrt(2) = 3.89V Vrms = sqrt(3.89^2 +...

1. Calculate the waveform frequency and form factor of a half rectified sine wave Ipk = Peak current = 11A Tp = Pulse time of sine wave = 0.02s T = Period = 0.035s 2. I have used the equations: Irms = Ipk*sqrt(f*Tp/2) Iave = (2*f*Ipk*Tp)/pi f = 1/T 3. I have waveform...

Hello, Suppose we have a square wave inverter, and at the output we put a low pass filter with cut off frequency of 50 Hz, then the output is sinusoidal with frequency 50Hz. Now let's take a sine wave inverter and at the output we have a low pass filter with cut off frequency of 50Hz, then we...

Hi. I have been trying to find a way to create a function that I can use to solve sin(x) in my head. I'm familiar with the taylor series but a few weeks ago thought that f(x)= -(x^2)+1 might superimpose well over a sin wave and would be an easy way to approximate. e.g. from x= +1 to 0 would...

I am having problem with integration of this ∫sin^3πt This is what i tried ∫(1-cos^2πt)sinπt ∫sinπt - sinπt(cos^2πt) ∫sinπt - ∫sinπt(cos^2πt) ... and got stuck OR ∫(1-cos^2πt)sinπt cos^2t=(1/2)(1+cos2t) so cos^2πt=(1/2)(1+cos2π) ∫((1-(1/2)(1+cos2π))sinπt ∫1/2(sinπt) -...

Homework Statement So I am a little rusty on my basic math and I am trying to simplify this expression. In case you were curious the expression came from a signal block diagram that I calculated the transfer function H(z) to then found the frequency response H(f) and I think i have done that...

Homework Statement Determine if the following function is invertible. If it is, find the inverse function. f (x) = -sin(-x) -∏ < x < ∏ The Attempt at a Solution f(x) = -sin(-x) y = -sin(-x) -(sin y)^-1 = -x (sin y)^-1 = x when x = -∏, y = 0 when x = ∏, y = 0 f^-1(x)...

Homework Statement I am doing this calculation in my lab: h = sin(24.0°)[(180.0cm)(1m/100cm)] The uncertainty on the angle is ±0.5° and on the length it is also ±0.5cm. How can I go about calculating the uncertainty? If you know the answer, do you mind putting it in terms of a...

Homework Statement This is for an exam I had a couple weeks ago. It was a part of a "show that" question and the answer I got was completely wrong. Yet oddly I've been given full marks for the question, and looking at the paper now I still don't see why I have been. Full solutions haven't been...

Homework Statement Show that the function f(x) = x\sin\left( \frac{\pi}{x} \right) has an infinite number of relative extrema. Homework Equations The Attempt at a Solution Using the product rule and chain rule to find the derivative f'(x): f'(x) = \sin\left( \frac{\pi}{x} \right) -...

Homework Statement Find all solutions of inverse sine (-1/2). Angles lie between 0 and 2∏. The attempt at a solution I know it sounds very simple, but i must be having some of the basics wrong, as i can't figure out the second solution. I used the calculator (in radian mode) to find inverse...

Hi, easy one but can't really get my head around it. The physics teacher today showed sound as Sine wave on an oscilloscope. If I was actually listening to this sound wave, where would it be silent, on the x-axis or at the trough? Please explain.

I am reading through a worked example of the Taylor series expansion of Sinh(z) about z=j*Pi The example states: sinh(j*Pi)=cos(Pi)*Sinh(0) +jcosh(x)sin(y) I am unsure of this relation. I understand why the x terms are zero but don't know the relation to expand sinh. Can anyone shed...

Hello, If I can make any number of waves (n) all with the same phase but all within a frequency range of 100-200hz, what are the ranges of frequencies I can make when adding them? So would I be able to make a wave with frequency 400hz, or 25hz, using additive synthesis and these constraints...

Hello, first of all, excuse my English. I have no experience witch describing mathematics problems in English. I have a movement with sine acceleration. I need to get equation of velocity depending on track (I am not sure if that's the right expression in English - on the traveled distance)...

Two sine waves have equal peak to peak amplitudes 81 but are out of phase by 90 degrees. What is the peak to peak amplitude of the resultant wave. I have no idea how to start this question, could someone give me guidance?

Homework Statement Find the area of: {(x, y) R^2 : 0 ≤ x ≤ π, 0 ≤ y ≤ 1/2, 0 ≤ y ≤ sin x}The Attempt at a Solution y = sinx on the interval 0 to π but with y < 1/2. if Sinx = 1/2, then x = pi/6, or x = 5pi/6 Because of symmetry I integrate one part and the multiply by two. [0,pi/6) In...

Can someone give a more intuitive explanation on how it is (if it is true), that; ∫all cos (nx) cos (mx) = 0 if n!=m or ∫all sin (nx) sin (mx) = 0 if n!=m thanks

Homework Statement I'm supposed to prove that: \int_0^∞sin(ka)J0(kp)dk = (a2 - p2)1/2 if p < a and = 0 if p > a J0 being the first Bessel function. Homework Equations The Attempt at a Solution I've tried to inverse the order of integration and then make the integral form...

Hello I am doing a calculus proof with epsilon-delta and I am trying to say the following: -1\leqsin x\leq1 and now I want to get (sin x )^2 ...so can you just square all sides of the inequality like this: (-1)^2\leq(sin x)^2\leq(1)^2 ?? According to the rule for inequalities...

Hello! I'm trying to generate a low power, high voltage sine wave that is unipolar (so, peak to peak ranges from 0V to 300V). Ideally, I would like the ability to vary the frequency from 10Hz to 60Hz. Is there an ideal method of doing this? With lower voltage I would generate my sine...

Homework Statement I'm trying to get started on a project for a course, which is about Fourier transforms. So I'm trying to find the Fourier transform of sin(2\pif0t) in order to figure something out. http://mathworld.wolfram.com/FourierTransformSine.html I don't really understand the delta...

Homework Statement \omega^2=(2/M)\sum_{n>0}\frac{A\sin(nk_0a)}{na}(1-\cos(nKa)) A, a, and k_0 are constants, n is an integer. I need to find \omega^2 and \frac{\partial\omega^2}{\partial K}, but I have no idea where to start.Homework Equations Not sure, the stuff above.The Attempt at a...

This is part of the simulation program in Antenna field pattern. One part involve finding the position of the peak where: AF=\frac {\sin\;Nx}{sin \;x}\;\hbox { where N is an integer.} The peak is at x=0 and the AF=N. But excel do not accept this and call out as "DIV 0" error. Is there any way...

Homework Statement [PLAIN]http://img808.imageshack.us/img808/2293/asdfkn.jpg The Attempt at a Solution If I look at the left triangle, the answer is obvious. The angle IHF will be 180-35 = 145deg, thus the angle IFH will be 180-20-145 = 15deg. Then using sine rule, sin15/4 =...

De Moivre's theorem for Individual sine functions. Need urgent help! Hey guys I need some help with this question! I've only been able to do the first part by factorising out (1-z) for the first 12 terms and then multiplying (1+z)/(1+z) to the whole equation. For part b), I am totally lost...