SIN function

Purpose

Return the sine of its argument.

Syntax

y = SIN(numeric_expression)

Remarks

numeric_expression is an angle specified in radians.  SIN returns an Extended-precision value between -1 and +1.

To convert radians to degrees, multiply by 57.29577951308232##.  To convert degrees to radians, multiply by 0.0174532925199433##.  For more information on radians, see the ATN function.

The Inverse Sine (ARCSIN) of a value can be calculated as follows:

ArcSin = ATN(Value / SQR(1 - Value * Value))

The Hyperbolic Sine (SINH) of a value can also be calculated:

SinH = (EXP(Value) - EXP(-Value)) / 2

The Inverse Hyperbolic Sine (ARCSINH) of a value can also be calculated:

ArcSinH = LOG(Value + SQR(Value * Value + 1))

' Useful Macro functions

MACRO Pi = 3.141592653589793##
MACRO DegreesToRadians(dpDegrees) = (dpDegrees * 0.0174532925199433##)
MACRO RadiansToDegrees(dpRadians) = (dpRadians * 57.29577951308232##)

See also

ATN, COS, TAN

Example

pi## = 3.141592653589793##

FOR I& = 0 TO 360 STEP 45

  x$ = "The Sine of " + FORMAT$(I&,"* 0") + _

    " degrees =" + FORMAT$(SIN(pi## / 180 * _

    I&),"* 0.00")

NEXT I&

Result

The Sine of   0 degrees =  0.00

The Sine of  45 degrees =  0.71

The Sine of  90 degrees =  1.00

The Sine of 135 degrees =  0.71

The Sine of 180 degrees =  0.00

The Sine of 225 degrees = -0.71

The Sine of 270 degrees = -1.00

The Sine of 315 degrees = -0.71

The Sine of 360 degrees =  0.00