Trig Functions

Revision as of 18:41, 15 October 2010 by Lchrisman (talk | contribs) (ArcCosH, etc., plus extra details on hyperbolic trig)


Trigonometric Functions

Important: Analytica's Trig functions operate using degrees, not radians.

Function Radians

Radians(Degrees : atomic numeric)

Converts an angle measure expressed in degrees to the equivalent measure expressed in radians.

Function Degrees

Degrees(Radians : numeric atomic)

Converts an angle measure expressed in radians to an equivalent degree measure.

Functions Cos, Sin and Tan

Basic trig functions. Parameter is in degrees.

Sin(90) → 1
Cos(Degrees(Pi)) &rarr -1

Functions ArcCos, ArcSin, ArcTan, ArcTan2

ArcCos( X : Numeric atomic)
ArcSin( X : Numeric atomic)
ArcTan( X : Numeric atomic)
ArcTan2( Y,X : Numeric atomic )

Inverse trig functions. Results are in Degrees. The range of the results are as follows:

Function Range (in degrees)
ArcCos 0 to 180
ArcSin -90 to 90
ArcTan -90 to 90
ArcTan2 -180 to 180

Note: ArcTan2(0,0) returns 0.

Functions CosH, SinH, TanH

plot for -90≤x≤90

Hyperbolic trig functions. The parameter is in degrees.

An xy-graph of Sin(x) vs. Cos(x) plots a circle. Analoguously, an xy-graph of SinH(x) vs. CosH(x) plots a hyperbola (on the right


Functions ArcCosH, ArcSinH, ArcTanH

these require Analytica 4.3

Inverse hyperbolid trig functions. The returned value is in degrees.

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