## What is the shape of a sine wave?

What Is a Sine 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.

### What is the shape of a sine function?

When the sine of an angle is plotted against that angle measure, the result is a classic “sine curve” shape. 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.

#### How is a sine wave formed?

Initially the coil is perpendicular to the magnetic field generating maximum voltage. As the coil rotates the voltage decreases according to the sine of the angle until the conductor is parallel to the magnetic field. For each revolution a complete sine wave is generated.

Why it is called sine wave?

A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation. A sine wave is a continuous wave. It is named after the function sine, of which it is the graph. It occurs often in both pure and applied mathematics, as well as physics, engineering, signal processing and many other fields.

Why does sin repeat?

When a sine wave (or a cosine wave) is graphed, it repeats itself at a fixed period. However, the value sin(π2) is geometrically undefined because you can’t have a triangle with two right angles. The same argument is true for all obtuse angles.

## Why sine wave is called sine wave?

Then the waveform shape produced by our simple single loop generator is commonly referred to as a Sine Wave as it is said to be sinusoidal in its shape. This type of waveform is called a sine wave because it is based on the trigonometric sine function used in mathematics, ( x(t) = Amax. sinθ ).

### What is the shape of the sine function called?

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. In the diagram above, drag the point A around in a circular path to vary the angle CAB.

#### 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.

How to graph the sine function of a triangle?

Try this Drag the vertex of the triangle and see how the sine function varies with the angle. To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis.

Which is a perfectly happy sine wave in one dimension?

A spring in one dimension is a perfectly happy sine wave. ( Source: Wikipedia, try not to get hypnotized.) Circles and squares are a combination of basic components (sines and lines). The circle is made from two connected 1-d waves, each moving the horizontal and vertical direction.

What is the shape of a sine wave? What Is a Sine 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. What is…