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15-14
ATN (Function) [Conforms to SLIM]
Function
Obtains an arc tangent.
Format
ATN (<Expression>)
Explanation
This statement obtains the arc tangent of the value in <Expression>.
The obtained value is expressed in degrees and ranges from -90 to 90.
If <Expression> includes a double precision real numeral, the obtained value
becomes double precision. Otherwise, a single precision value is obtained.
Explanation: The ATN function receives the ratio of 2 sides of a right
triangle as an argument (number) and returns the
corresponding angle. The 2 sides mentioned here
include the right angle. The ratio of the 2 sides is the
value of the opposite side length to the obtained angle
divided by the adjacent side (base, or side adjacent to
the obtained angle) length. The return value will range
from -π
ππ
π/2 to π
ππ
π/2 (expressed in radians). To convert
degrees to radians, multiply the degree by π
ππ
π/180. To
convert radians to degrees, multiply the radian by 180/π
ππ
π.
Memo: The ATN function is an inverse trigonometric function of
the Tan function. The Tan Function receives an angle as
an argument, and returns the ratio of the 2 sides that
include the right angle of a right triangle. Note the
difference between the ATN function and the cotangent
(1/tangent) of the reciprocal tangent.
Related Terms
SIN, COS, TAN, ASIN, ACOS, ATN2
Example
DEFSNG lf1, lf2, lf3, lf4, lf5, lf6, lf7
lf1 = ATN(0.5) 'Assigns the arc tangent value of 0.5 to lf1.
lf2 = ATN(lf4/2)
'Assigns the arc tangent value of (lf4/2) to lf2
.
lf3 = ATN(lf5/lf6) * lf7 'Assigns the arc tangent value of (lf5/lf6)
'multiplied by lf7 to lf3.
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