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Rockwell Automation GMLC Reference Manual User Manual

Page 679

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Publication GMLC-5.2 - November 1999

642

Mathematical Functions

The argument can be any floating point value or expression, but it must
have a value from -1 to 1, inclusive, because the sine of an angle is always
within this range. The value of the Arc_sine function is always an angle

from -

π

/

2

to

π

/

2

radians (±90°), inclusive. If the argument is not between

±1, the value of the Arc_sine function is zero.

For example, the following expression is evaluated as 0.5235xx since the
principal angle whose sine is 0.5 is 0.5235 radians (30°).

Arc_sine (0.5)

To convert the value of the Arc_sine function to degrees, multiply by

180

/

π

.

For example, the following expression is evaluated as 30 (assuming the
user constant

Pi

has been defined as the value of

π

) since the principal

angle whose sine is 0.5 is 30°.

(Arc_sine(0.5) * 180 / Pi)

Arc Tangent

The value of the Arc_tangent function is the principal angle (in radians)
whose tangent is equal to the argument, as shown below.

Argument

–1

+

+1

−π

/2

π

/2