asin()
Return the arcsine of the argument.
Syntax
asin( sine )
Parameter
Parameter | Definition |
|---|---|
sine | sine argument *Valid Values* |
Description
The asin() function returns the arcsine of sine, that is, the length in radians of the arc whose sine is sine. The output range for the asin() function is -p/2 ≤ asin() ≤ p/2.
Example
The following PSL script uses the asin() function to confirm the trigonometric identity Arcsin x + Arccos x = π/2:
PI = 3.141593;
HALFPI = PI / 2;
print("Arcsine + Arccosine Identity Verification\n\n");
print(" Sine Expected Returned\n");
print("--------- --------- ---------\n");
sine = -0.9;
while (sine < 1.0){
printf("%+8.6f %+8.6f %+8.6f\n",sine,HALFPI,asin(sine) + acos(sine));
sine = sine + 0.1;
}
HALFPI = PI / 2;
print("Arcsine + Arccosine Identity Verification\n\n");
print(" Sine Expected Returned\n");
print("--------- --------- ---------\n");
sine = -0.9;
while (sine < 1.0){
printf("%+8.6f %+8.6f %+8.6f\n",sine,HALFPI,asin(sine) + acos(sine));
sine = sine + 0.1;
}
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