Difference between revisions of "Trig Functions"

(ArcCosH, etc., plus extra details on hyperbolic trig)
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= Functions CosH, SinH, TanH =
 
= Functions CosH, SinH, TanH =
  
Hyperbolic trig functions.
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[[image:SinH vs CosH.png|frame|plot for -90≤x≤90]]
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Hyperbolic trig functions.  The parameter is in degrees.
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An xy-graph of <code>Sin(x)</code> vs. <code>Cos(x)</code> plots a circle. 
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Analoguously, an xy-graph of <code>SinH(x)</code> vs. <code>CosH(x)</code> plots a hyperbola (on the right
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= Functions ArcCosH, ArcSinH, ArcTanH =
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:''these require [[Analytica 4.3]]''
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Inverse hyperbolid trig functions.  The returned value is in degrees.

Revision as of 18:41, 15 October 2010


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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