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The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle . The angle θ is taken in the positive sense and must lie in the interval 0 < θ ≤ π (radian measure).
The term chord function may refer to: Diatonic function – in music, the role of a chord in relation to a diatonic key; In mathematics, the length of a chord of a circle as a trigonometric function of the length of the corresponding arc; see in particular Ptolemy's table of chords .
Indeed, the other green edge with three black edges would form a cycle of length four with no chords. In the mathematical area of graph theory , a chordal graph is one in which all cycles of four or more vertices have a chord , which is an edge that is not part of the cycle but connects two vertices of the cycle.
In geometry, the sagitta (sometimes abbreviated as sag [1]) of a circular arc is the distance from the midpoint of the arc to the midpoint of its chord. [2] It is used extensively in architecture when calculating the arc necessary to span a certain height and distance and also in optics where it is used to find the depth of a spherical mirror ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
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It is essentially equivalent to a table of values of the sine function. It was the earliest trigonometric table extensive enough for many practical purposes, including those of astronomy (an earlier table of chords by Hipparchus gave chords only for arcs that were multiples of 7 + 1 / 2 ° = π / 24 radians). [2]
Approach chord; Chord names and symbols (popular music) Chromatic mediant; Common chord (music) Diatonic function; Eleventh chord; Extended chord; Jazz chord; Lead sheet; List of musical intervals; List of pitch intervals; List of musical scales and modes; List of set classes; Ninth chord; Open chord; Passing chord; Primary triad; Quartal chord ...