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Rockwell Automation GMLC Reference Manual User Manual

Page 678

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Publication GMLC-5.2 - November 1999

641

The argument can be any floating point value or expression, but it must
have a value from -1 to 1, inclusive, because the cosine of an angle is
always within this range. The value of the Arc_cosine function is always
an angle from 0 to

π

radians (180

°

), inclusive. If the argument is not

between ±1, the value of the Arc_cosine function is zero.

For example, the following expression is evaluated as 1.047xx since the
principal angle whose cosine is 0.5 is 1.047 radians (60

°

).

Arc_cosine(0.5)

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

180

/

π

. For example, the following expression is evaluated as 60 (assuming

the user constant

Pi

has been defined as the value of

π

) since the

principal angle whose cosine is 0.5 is 60

°

.

(Arc_cosine(0.5) * 180 / Pi)

Arc Sine

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

Argument

–1

+

+1

π