# GCOT

## Purpose:

Generates a cotangent series in accordance
with the specified parameters.

## Syntax:

GCOT(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:

gcot(100, 0.1, 2, 5)

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

## Remarks:

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

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

## See Also:

COT

TRIGNOMETRIC
FUNCTION GENERATORS