# What is a sine curve in a wave?

## What is a sine curve in a wave?

A sine wave is a 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.

## How do you describe the sine curve?

The shape of the sine curve is the same for each full rotation of the angle and so the function is called ‘periodic’. The period of the function is 360° or 2π radians. You can rotate the point as many times as you like. This means you can find the sine of any angle, no matter how large.

Is a sine wave a circle?

A sine wave shows this excursion around a circle happening in time. A sine wave, ultimately, is a circle expressed in time.

What are the parts of a sine curve wave?

A general form of a sinusoidal wave is y(x,t)=Asin(kx−ωt+ϕ) y ( x , t ) = A sin ( kx − ω t + ϕ ) , where A is the amplitude of the wave, ω is the wave’s angular frequency, k is the wavenumber, and ϕ is the phase of the sine wave given in radians.

### What kind of curve is a sine wave?

The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called ‘sinusoidal’ after the name of the sine function. This shape is also called a sine wave, especially when it appears in radio and electronic circuits.

### What’s the best way to draw a sine wave?

Another approach to draw this kind of curves is using Bezier curves. However, the result you may get using these curves may not be perfect. Depending on your presentation needs, you may want to choose between making a Sine Curve using this approach or a more accurate approach like plotting the sine curve in Fooplot or Matlab.

How to calculate the period of a sine curve?

To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient bto get the new period of the curve. The coefficient band the period of the sine curve have an inverse relationship, so as bgets smaller, the length of one cycle of the curve gets bigger. Likewise, as you increase b, the period will decrease.

How is a sine wave produced by a bouncing spring?

A sine wave produced naturally by a bouncing spring: The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.