Sine Definition and 511 Threads

Are sine waves the waves that are theoretically deemed to be the waves [naturally] emitted by all matter? Or am I getting them confused with something else?

Hi there! Can anyone please help me with this one..? Find the Fourier Sine series of f(x)=sin(x/2) for interval (0,pi) thanx a lot :)

Add the following sine waves y= Asin(wt) + Bsin(wt + x) Where w=2(pi)f and x is a phase shift I SIMPLIFIED this for my friend using rotating vectors, then i got really annoyed realizing that I didn't know how to do it the direct way (trig identities). So I've posted it here for...

Hi...I know what Sine, Cosine, and Tangent represent in math and how they are used...but I'm asking a different question. That question is: how are they calculated? That is, when I put, say Sine(10) into a calculator, how does it calculate that value? Additionally, how are square roots...

Can someone help me with my homework? It would be great if I could get it back within the next 10 hours. The sooner the better though. Thanks to anyone who can do these for me. Working out for first 3 questions would be appreciated. Fourth question only requires multiple choice answer. 1)...

I have a math project due where the assignment is to find real world applications of the sine and cosine funtions. Can anyone recommend some good websites on the web or have any specific ideas? Thanks, -Charlie

First off, I'm not looking for answers, just trying to figure how I would solve certain problems. If I had a problem such as: sin A = -4/5 (-pie < A < -pie/2) Using this, find cos A, tan A, cot A, sec A, csc A. I know that I have to use identities, but how would I go about finding cos...

I'm unsure as to whether I'm correct with this: 4sinx - 3cosx My answer ended up being 5sin(x + sin^-1 (-3/5)). The equations I used were: asinx + bcosx = (a^2 + b^2)^1/2 * sin(x + angle) angle = sin^-1 (b / (a^2 + b^2)^1/2)) Can someone clarify whether I'm correct? I would...

why is the sine series for f(x) = { 0 x<2 on 0,3 2 x>2 L=3 cn=2/3 int b=3 and a =0 f(x) sin( nxpi/ L)dx = 2/3 int. b=2 a=0 (0) sin( pi n x/ 3) dx + 2/3 int b=3 a =2 (2) sin n x pi/3 dx = 0 + 4/3{-3n pi cos n pi x/3} x=3 and x=2 =...

Hey! I just wanted to post what I was getting confused on, concerning Sin and the whole Soh Cah Toa thing. The Law of Siness is sinA = sinB= sinC ---- ---- ---- a b c and the other one was actually the Law of Cosines, which is...