# GCOS

## Purpose:

Generates a cosine series in accordance
with the specified parameters.

## Syntax:

GCOS(length, spacing,
frequency, phase)

length |
- |
An integer, the length of the output series. |

spacing |
- |
A real, the spacing (delta x)
between each point on the x-axis. |

frequency |
- |
Optional. A real, the
frequency specified in cycles per second (Hertz). Defaults to 1. |

phase |
- |
Optional. A real, the
phase specified in radians. Defaults to 0. |

## Returns:

A series.

## Example:

gcos(100, 0.1, 2, 5)

creates a cosine wave of 100 points spaced
0.1 x-units apart resulting in 20 cycles in the series. This series will
also be shifted by five units (the offset value) on the x-axis,
and compressed by a factor of 2.

## Example:

gcos(1000, 1/1000, 200)

generates 1000 samples of a 200 Hz cosine
sampled at 1000 samples/sec.

## Remarks:

The formula used to generate each point,
*n*, in the series is as follows:

y[n] = COS(2π
• frequency • spacing • (n-1) + phase)

## See Also:

COS

TRIGNOMETRIC
FUNCTION GENERATORS