Sine Definition and 521 Threads

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!

I'm having a lot of problems with this topic. I know what the sine, cosine and tan graphs look like. one question i come across fequently is "given that sin 30°, what is a) sin 150° b) sin 330°. - i can work it out on a calculator but the questions on a non-calc paper. I am presuming it's...

Homework Statement Hello, I'm trying to find the area enclosed by sine the cosine function on the interval 45 degrees and 225 degrees, my problem is i get a negative number after i do the integration, my answer is -2 root 2. here's what i did, sin(x)-cos(x)dx after integrating...

In the function y=4sin(3X+Pie/4)-2 what determines the period and phase shift? I know that 4=Amplitude The answer in the back of the textbook says Period=2pie/3 Phase Shift=-pie/12

Origin of the term "sine" It is well-known that "sine" comes from the Latin word "sinus", meaning a "fold", or a pocket. However, its reference to the length of the half-chord on the unit circle remains still rather obscure. I recently came over an explanation that makes perfect sense...

Homework Statement Im not sure how to start this question: determine the points of intersection between y=sin x and y=cos 2 x for x between 0 and pi. The Attempt at a Solution First thing that comes to mind is the eqaute the two, but i don't know how that helps me?

Proving slope "m" of a secant connecting two points of the sine curve Homework Statement Write and expression for the slope m of the secant connecting the points Po(Xo,Yo) and P(X,Y) of the sine curve. Use the appropriate trigonometric identity to show that m= sin((X-Xo)/2)/((X-Xo)/2) * cos...

What would the Domain, Range, Amplitude, Period, Phase shift be for y=-3sin(x)+2cos(x)? How do you write it as a single sine function equivalent to it? :confused:

Does anyone remember the formula for the rise/fall time for a sine wave...? I thought I could calculate it but I did it wrong apparently t1. V_o sin(2*\pi*f*t)=.1 V_o \frac{arcsin(.1)}{2 \pi f} t2. V_o sin(2*\pi*f*t)=.9 V_o \frac{arcsin(.9)}{2 \pi f} t2-t1... but that isn't right

Help me with sine questions.. URGENT Hi I am trying to solve these and i can't understand them .. please help me Q1:: Write an equation for a sine curve that has the following characteristics: - amplitude of 5, -max of 7, min of -3 and one cycle starts at pi/8 and this cycle ends at 9 pi/8...

rms of sine wave = peak * 1/SQRT(2) how is this derived from the rms equation? (Search engines have returned no useful results.)

I need to find \int \cos^2(x)\sin^7(x)dx I'm not sure what substitution to make

Part a)I need help understanding a step in solving \lim_{x\rightarrow \infty}xsin(\frac{1}{x}) The textbook is suggesting I replace \frac{1}{x} with y, so that I can get a limit in the form \lim_{y\rightarrow 0}\frac{siny}{y} which is understandably easy to solve. The part I don't...

Hello guyz, I am new at this page. I need your help. I can't able to evaluate this integral. intergral of( sin(pi*t/(2T)) e^ -j2*pi*f*t)dt . The lower limit is 0 and the upper limit is 2T ...This is acctually the Fourier transform of sin(pi*t/(2T)) where 0<t<2T ...I could do the Fourier...

Hello, What is the formula to calculate the power (W) of a sine wave electrical signal traveling through a wire if I know the frequency, voltage, and current? Thanks, Jason O

hey guys...so my teacher gave me this lil assignment and she said to explain (in words) the relationship between sine and tangent and cosine and tangent.i have no clue what I am doing...so if someone could PLEASE explain this to me...i will be so greatful! thankz

When a question asks Construct sine and cosine series for the function: f(t)=t, 0<t<pi. Should I assume the period of f(t) is pi? I think it must because the domain is discontinous at 0 and pi.

Hi all! Please help me answer these questions: 1. Why is the standard Horner's scheme for the computation of Taylor's series for sine unstabil? The standard scheme is sin(x) = x(1 + x^2(-1/3! + x^2(1/5! + x^2(-1/7! + ... x^2(-1/(2n-1)! + x^2/(2n+1)!)...) 2. How can we modify the scheme to...

The sine of 45 degrees is equal to root two over two or approximately.7071. I was playing around on my calculator when i stumbled upon the resemblance that sine45 degrees is either equal to or extremely close to the sum from one to fifty of the (square root of x)/10. Is there anything here or...

A baseball hit at an angle of a to the horizontal with initial velocity v0 has horizontal range, R, given by R = (v02 / g)sin(2a) Here g is the acceleration due to gravity. Sketch R as a function of a for 0 < a < pi/2. What angle gives the maximum range? What is the maximum range...

In an electrical outlet, the voltage, V, in volts, is given as a function of time, t, in seconds, by the formula V = V0sin(120pit) What does V0 represent in terms of voltage? Well, V0 is the amplitude, but I don't know what it represents in terms of voltage... I guess I'm just having...

Hello, I'm curious if anyone can shed some light on my seemingly opaque brain as to why Sine is an odd function and Cosine is an even function?

this is my question: A Building sways 55cm to the right from origin in 5 seconds and 55 cm to the left of the origin in 35 seconds. And i am supposed to write an eqaution to define this. I'm guessing the is no amplitude no vertical translation and since it's sine basically I am going to...

can anyone do the following integration?! PLEASE! S=integral sine S(lnz)^2

I'm interested in synthesizing complex waveforms using sine waves. I know that when two sine waves which differ slightly in frequency from one another are summed, amplitude modulation (AKA "beating") with a frequency equal to the difference in frequency between the two sine waves ensues. This...

Hi folks. I'm back to make a fool of myself again. It seems that I have a proof that the 'music' of the primes is caused by the interaction of a collection of sine waves. However, I have no idea whether this is old hat, trivial or interesting. Can somebody here tell me? PS. I don't know why...

hi, i was wondering why the sine function makes a squiggly line on the number plane. i know its not the right terminology so sorry for that. thanks

how would on integrate \int_{0}^{1} \sqrt{1 + 4t^2} dt trig sub sittution doesn't work since one doesn't get tan^2 +1 . i tryed solving this with matematica and it yielded something with a sinh argument. I am not familiarwi the hyp sine substitution.

By using the Sine formula in triangle ABC, show that: \frac{a+b}{c} = \frac{cos\frac{A-B}{2}}{sin\frac{c}{2}}. I've tried: \frac{2 sin C}{c} = \frac{sin A}{a} + \frac{sin B}{b} \frac{2 sin C}{c} = \frac{b sin A + a sin B}{a+b} \frac{a+b}{c} = \frac{b sin A + a sin B}{2 sin C} \frac{a+b}{c} =...

I am trying to do a sine curve regression on my collected data using my calculator, but when i do it i get an output that says: "Error:Singular matrix". What is happening?

How do I construct a circuit that will limit the positive half of a 20V peak-to-peak sine wave to 5.6V and the negative half to -2.5V? So far, I have a 1 k ohm resistor and the diode is forward biased leading to VL and Vout.

I tried to find the cosine series of the function f(x) = \sin x, using the equation below: S(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} a_n \cos(nx) where: a_n = \frac{2}{\pi} \int_{0}^{\pi} f(x) \cos(nx) dx I found: a_0 = \frac{4}{\pi} a_n = \frac{2 }{\pi (1 - n^2)} (\cos(n \pi) + 1)...

When I worked this problem, I came up with the following: sin 11pi/12= -sq root 2/4 (sq root3-1) cos 11pi/12= -sq root 2/4 (sq root3+1) tan 11pi/12= 2-sq root3 am I far off?

Dear All, I have an apparatus that produces a graph of results that looks to me like a sine wave (a half wave plate affecting the power throughput of a laser; it goes from maximum to minimum 4x throughout its 360º rotation). My problem is that I need to define this line as a formula but have...

Hi people, what is meant by sine, cosine, tangent angles, apart from their general definition of opp side/ hypo side; adj side/ hyp side and so on? how are these sine, cosines and tangent angles invented by humans?

i know that the sine integral converges to pi/2. But what about the abs value of the sine integral. It seems to me that it would have value oo. But I'm having trouble coming up with a lower bound that diverges.

Hi, This maths stuff is tstarting to hurt my head! :p Ok, I want to use a sine wave to make objects appear at an increasing rate and then a decreasing rate. e.g. where: y=sin(x) y = interval before next object appears so in Maple that'd be: plot(sin(x)+1,x=Pi/2..Pi+(Pi/2)); Now I...

Word Problem The leaning tower of pisa leans toward the south at an angle of 5.5 degrees. One day a shadow was 90 m long and the elevation from the tip of the shadow to the top of the tower was 32 degrees 1)Determine the slant height of the tower. First I found all the angles and then...

I was wondering exactly what sine is. i know that the relationship between sine and the angle is expressed as sinx=opposite/hypotoneuse. But is sine somekind of constant you multiply the angle with to get the O/H ratio? How did the people calculate the ratios without calculaters when they only...

"There are two sine waves having a phase difference of 20 degrees. After one reaches its maximum value, how much time will pass until the other reaches its maximum, assuming a frequency of 60 Hz." Should I go about this by assuming... sin(120pi*t) = sin(120pi(t + x) - 20) Any hints...

Perhaps this has already been brought up, but is an electromagnetic wave 2-dimensional or 3-dimensional? The current "up-and-down" concept does not have me convinced. If you look at a standard spring, you can see that it is a spiral/helix. You can also see that the side of the spring...

I'm trying to make a sine wave oscillator with unipolar amplifiers, and all the circuits I find are for bipolar amplifiers. I've tried to modify the bipolar circuit, but it doesn’t work. Can anybody give an idea or a circuit? thank you for your attention.

Simplify in terms of cosine and sine only. tan^2x - {csc^2x\over cot^2x} From here, I assume you can flip the fraction and make it {tan^2x\over sin^2x} next, i reduce it to: (sec^2x-1) - ({sec^2x -1\over 1 - cos^2x}) and anyway..im lost; i don't know where to stop and how...