sine cosine wave animation by Russell Kightley

Animation of a sine wave or sinusoidal wave (sine curve or sine function) and its corresponding cosine wave

SINE WAVES (y = sin x) are ubiquitous. They represent the behaviour of a simple oscillator. This animation illustrates the relationship between a circle (the wheel in this movie) and the phase (stage) of the sine wave. As the wheel rotates the attached horizontal pointer traces out a sine wave on the purplish screen. The maximum amplitude of the wave is the same as the radius of the circle (wheel in this case). The height of the wave at any point depends on the sine of the angle that the radius of the circle (yellow line) makes with a horizontal plane (not shown). The labelled diagram at left explains the relationship between the angle, the sine and the resulting sine wave.

COSINE WAVES (y = cos x) are identical to sine waves but are shifted by 1/2 π with respect to the sine wave. In this animation the cosine wave (yellowish green undulation) is shown traced out on the lower greenish screen by the vertical pointer. The height (value) of the cosine wave at any point depends on the cosine of the yellow radial arm. At the beginning of the animation notice how the sine wave has a value of zero and the cosine wave a value of one (we assume the diameter of the wheel is one). The two arms projecting from the wheel are at right angles to each other (i.e. 90 o or 1/2 π) apart and this helps you to visualise the phase difference of 1/2 π between the sine and cosine curves.

[pardeepgarg]

How you made, there are so many YouTubers which made this, but no one explains
Note :I don't have any experience in coding or programming

[khushankmaheshwari]

Combine these two and there you have an EM wave

[ekasupriyatna]

hello, may i use this in making a google site for learning media. ?

[florentin]

Can aliens come up with this shit too?

[TomHendricksMusea]

Wave or Helix, a look at the Electromagnetic Wave

The electromagnetic wave has both an electric field and a magnetic field. These are perpendicular to each other.

The illustrations online for the electromagnetic spectrum show a range of wavelengths from radio to gamma waves. But the illustrations show waves, never a helix. So which are they?

See my diagram. The electric wave is a vertical wave in red, and the magnetic wave is a horizontal wave in blue. They are perpendicular to each other.

Next see any of the numerous animated YouTube videos on sine waves and cosine waves. Mapping a helix or moving circle or spiral with a sine wave and a cosine wave, shows exactly the same thing as my drawing.

That seems to suggest that electromagnetic waves are not waves but helixes!!! This exactly fits a sine and cosine wave mapped as a helix, spiral, or moving circle.

This seems so obvious, yet I've never seen an electromagnetic wave represented as a helix or spiral. Has anyone else?

[nicolasreinaldet]

No offense but Russel Kightley sounds like a late 18 century early 19 century mathematician.
"So here we will study a basic theorem of topology proved by Russel Kightley ( shows a picture off a old gentleman with a big white bear )".