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
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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