Difference between revisions of "Trig Functions"

(ArcCosH, etc., plus extra details on hyperbolic trig)
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An xy-graph of <code>Sin(x)</code> vs. <code>Cos(x)</code> plots a circle.   
 
An xy-graph of <code>Sin(x)</code> vs. <code>Cos(x)</code> plots a circle.   
Analoguously, an xy-graph of <code>SinH(x)</code> vs. <code>CosH(x)</code> plots a hyperbola (on the right  
+
Analoguously, an xy-graph of <code>SinH(x)</code> vs. <code>CosH(x)</code> plots a hyperbola (on the right side of the y-axis).
  
 +
Although the parameter is specified in degrees, it does not denote an angle to the point on the hyperbola.
  
 
= Functions ArcCosH, ArcSinH, ArcTanH =
 
= Functions ArcCosH, ArcSinH, ArcTanH =

Revision as of 19:09, 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 side of the y-axis).

Although the parameter is specified in degrees, it does not denote an angle to the point on the hyperbola.

Functions ArcCosH, ArcSinH, ArcTanH

these require Analytica 4.3

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

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