Difference between revisions of "Trig Functions"

Revision as of 03:15, 19 January 2016

Trigonometric Functions

Important

Analytica's trigonometric 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 trigonometric functions. Parameter is in degrees.

Sin(90) → 1

Cos(Degrees(Pi)) → -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

Inverse hyperbolic trigonometric functions. The returned value is in degrees.

@@ Line 2: / Line 2: @@
 [[Category:Doc Status C]] <!-- For Lumina use, do not change -->
-= Trigonometric Functions =
+== Trigonometric Functions ==
+<tip title="Important">
+Analytica's trigonometric functions operate using ''degrees'', not radians.
+</tip>
-'''Important:''' Analytica's Trig functions operate using ''degrees'', not radians.
+== Function Radians ==
+:[[Radians]](Degrees: atomic numeric)
-= Function Radians =
- Radians(Degrees : atomic numeric)
 Converts an angle measure expressed in degrees to the equivalent measure expressed in radians.
-= Function Degrees =
+== Function Degrees ==
+:[[Degrees]](Radians: numeric atomic)
- Degrees(Radians : numeric atomic)
 Converts an angle measure expressed in radians to an equivalent degree measure.
-= Functions Cos, Sin and Tan =
+== Functions Cos, Sin and Tan ==
+Basic trigonometric functions.  Parameter is in degrees.
-Basic trig functions.  Parameter is in degrees.
+:<code>Sin(90) &rarr; 1</code>
+:<code>Cos(Degrees(Pi)) &rarr; -1</code>
-:Sin(90) &rarr; 1
+== Functions ArcCos, ArcSin, ArcTan, ArcTan2 ==
-:Cos(Degrees(Pi)) &rarr -1
+:[[ArcCos]](X: Numeric atomic)
+:[[ArcSin]](X: Numeric atomic)
-= Functions ArcCos, ArcSin, ArcTan, ArcTan2 =
+:[[ArcTan]](X: Numeric atomic)
+:[[ArcTan2]](Y, X: Numeric atomic)
- 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:
-{|
+:{| class="wikitable"
 !Function !! Range (in degrees)
 |-
@@ Line 47: / Line 44: @@
 |}
-Note: ArcTan2(0,0) returns 0.
+Note: <code>ArcTan2(0, 0)</code> returns 0.
-= Functions CosH, SinH, TanH =
+== Functions CosH, SinH, TanH ==
+Hyperbolic trig functions.  The parameter is in degrees.
-[[image:SinH vs CosH.png|frame|plot for -90&le;x&le;90]]
+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 side of the y-axis):
-Hyperbolic trig functions.  The parameter is in degrees.
-An xy-graph of <code>Sin(x)</code> vs. <code>Cos(x)</code> plots a circle.
+:[[image:SinH vs CosH.png|plot for -90&le;x&le;90]]
-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 ==
+Inverse hyperbolic trigonometric functions.  The returned value is in degrees.
-:''these require [[Analytica 4.3]]''
-Inverse hyperbolid trig functions.  The returned value is in degrees.
+==See Also==
+* [[Exp]]
+* [[Complex Numbers]]
+* [[Complex number functions]]
+* [[Advanced math functions]]