The cosine comes out the bottom because it's the projection on the x-axis, and when we did the sine, it was the projection on the y-axis, produced the sine wave when we went this way.

We see our sine wave being generated in yellow and in orange we see the cosine wave being generated and they're both coming from this rotating green vector. So, this is a really simple …

sin (x) and cos (x) have periods of 2π. As x increases, they go through one cycle every time their input changes by 2π. If you replace x with 2x, so you have sin (2x), you can imagine that we're …

In this video David shows how to determine the equation of a wave, how that equation works, and what the equation represents.

If you ever hear a pure tone or a pure note, a bell being rang or a whistle, or if you sing a note, the shape of those tones looks like a sine wave or a cosine wave.

Trigonometric functions are functions that have the six basic trig functions: cos, sin, tan and their inverses. Sinusoidal functions are functions that look like a sin wave.

A sine wave emerges from Euler's Formula. Music, no narration. Animated with d3.js.

A cosine wave is a signal waveform with a shape identical to that of a sine wave , except each point on the cosine wave occurs exactly 1/4 cycle earlier than the corresponding point on the …

A cosine wave is just a shifted sine wave, and vice-versa. Now, if the y-axis passes right through a crest or trough, it's probably better to write it as a cosine wave, since you won't have to deal …

A cosine wave emerges from Euler's Formula. Music, no narration. Animated with d3.js. Created by Willy McAllister.