sine wave propogation?
443258
http://en.wikipedia.org/wiki/Sine_wave
939642
Counterexample.  Let u(x), v(x) be members of {sin x, cos x}.  Both of those are solutions, but you do not get zero by adding one to the other, or by doubling one of them.
527822
What's your sine? Oops. I seem to be going off on a tangent. I can't function without you. I don't know Y, but you remind me of my X. It's plane to see that we'd make a great ordered pair, if you get by point. I'm not line. I really have no axis to grind. I've tried every angle I can think of to get this right. I don't mean to be obtuse, but I think we're complementary.
938006
divide the voltage by R\nI=60sin(120(pi)t)\n\nThe amplitude is 60 amps\n\nThe period is 1/120 seconds\nj
472570
Waves are space-time periodic objects.\n\nYour case: A sin(wt - kx) describes a planar wave, where A is the amplitude and φ(x, t) = wt - kx is the phase.\nFor a fixed time t (e.g. t=0) you have a freezed sin wave in space:\n\nA sin(-kx)\n\nA certain point x in space (e.g. x=0) oscillates over time:\n\nA sin(wt)\n\nSince w and k are arbitrary constants you can write the phase:\n\nφ(x, t) = wt - kx \n\nor\n\nφ(x, t) = kx - wt\n\nWhat counts is the movement of wave fronts (points of constant phase):\n\nφ(x, t) = kx - wt = const <=> x =  const/k + wt/k\n\nφ(x, t) = wt - kx = const <=> x = -const/k + wt/k\n\n ==> v = dx/dt = w/k (phase velocity)
38317
Sine Wave\nAn geometric waveform that oscillates (moves up, down or side-to-side) periodically, and is defined by the function y = sin x. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.\n\nInvestopedia Says: The Composite Index of Lagging Indicators, one of three Business Cycle Indicators published by the Conference Board is known to resemble a sine wave since the measures that make up the index (i.e. ratios and interest rates) tend to oscillate between a range of values. For example, inflation is always kept between specified rates and if/once inflation meets or exceeds a specified limit, interest rates will be adjusted to either increase or decrease inflation so it is brought within a target range. Thus, as the rate of inflation increases, decreases or stays the same, interest rates will oscillate up and down to control an undesired rate of inflation.
509207
Yes. You can use sine or cosine to determine the angle.\n\nSine x = Opposite / Hypotonuse\nSin x=5/13\nSin x=.38\nx=22.6*\n\nCosine x = Adjacent / Hypotonuse\nCos x=12/13\nCos x=.92\nx=22.6*
833971
use the formula sinA/sinB.\nA is the angle of incidence,B is the angle of refraction.\nso in this case it is sin40/sin25 = 1.52(to 3sig. fig)
247689
Use analytical trig (hint: sin function).  That should give you the answer you are looking for.
657525
If you have the equation of the curve then integrate it on the lower and upper limits of the variable. In some cases you can find devide the identical parts and find out area of a single identical part and multiply by the number of parts made (sine wave).\n\nIf shape is a simple square circle etc you can find area by simple formula.
1088145
The answer is no, it isn't necessarily true, and the angle could be 150 degrees.\n\nSine is a repeating function there are an infinite number of values x which would yield the value 1/2 from the function y = sin x.\n\nBecause the sine function repeats, the inverse of the sine function is not itself a function, but it is common in mathmatics to, by limiting the range of the inverse, to make it a function.\n\nSo when using the inverse sin FUNCTION (y = Arcsin x), which has a range from negative 90 degrees to positive 90 degrees, inclusive, the only value in the range which will yield an answer of 1/2 is, indeed, 30 degrees.\n\nhopefully that made sense.
1057214
The amplitude of the function is -2, or simply 2.  This is because the value of sin(...) ranges from [-1...1], inclusive.\n\nThe 3x affects the frequency, but not the magnitude.
445421
sine: In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.\ncosine: In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
8502
Depends on what you're running from it.  Things like computers and incandesant light bulbs won't be effected by a non-true sine wave inverter.  Fluorescent bulbs and motors will not work as efficiently without a true sine wave.  You'll probably notice the bulb or motor making more noise than usual if you run one of them on a non-true sine wave.
756073
Sine = opposite/hyp\nCosine = adjacent/hyp\nTangent = opposite/adjacent
730722
put sinx=t\ncosxdx=dt\nI=fcos(pi t)dt with limits -1,+1\nI=(sin(pi t))/pi with limits +1,-1\nI=(sin(pi)-sin(-pi))/pi=0\nthanks & good luck
523359
It's just a convention. That's the definition of the sine. Some things just are what they are.