## Stata 15 help for trig functions

```
[FN] Trigonometric functions

Functions

acos(x)
Description:  the radian value of the arccosine of x
Domain:       -1 to 1
Range:        0 to pi

acosh(x)
Description:  the inverse hyperbolic cosine of x,
acosh(x) = ln{x+sqrt(x*x - 1)}
Domain:       1 to 8.9e+307
Range:        0 to 709.77

asin(x)
Description:  the radian value of the arcsine of x
Domain:       -1 to 1
Range:        -pi/2 to pi/2

asinh(x)
Description:  the inverse hyperbolic sine of x,
asinh(x) = ln{x+sqrt(x*x + 1)}
Domain:       -8.9e+307 to 8.9e+307
Range:        -709.77 to 709.77

atan(x)
Description:  the radian value of the arctangent of x
Domain:       -8e+307 to 8e+307
Range:        -pi/2 to pi/2

atan2(y,x)
Description:  the radian value of the arctangent of y/x, where the
signs of the parameters y and x are used to determine
Domain y:     -8e+307 to 8e+307
Domain x:     -8e+307 to 8e+307
Range:        -pi to pi

atanh(x)
Description:  the inverse hyperbolic tangent of x, atanh(x) =
(1/2){ln(1+x) - ln(1-x)}
Domain:       -1 to 1
Range:        -8e+307 to 8e+307

cos(x)
Description:  the cosine of x, where x is in radians
Domain:       -1e+18 to 1e+18
Range:        -1 to 1

cosh(x)
Description:  the hyperbolic cosine of x,
cosh(x) = {exp(x) + exp(-x)}/2
Domain:       -709 to 709
Range:        1 to 4.11e+307

sin(x)
Description:  the sine of x, where x is in radians
Domain:       -1e+18 to 1e+18
Range:        -1 to 1

sinh(x)
Description:  the hyperbolic sine of x,
sinh(x) = {exp(x) - exp(-x)}/2
Domain:       -709 to 709
Range:        -4.11e+307 to 4.11e+307

tan(x)
Description:  the tangent of x, where x is in radians
Domain:       -1e+18 to 1e+18
Range:        -1e+17 to 1e+17 or missing

tanh(x)
Description:  the hyperbolic tangent of x,
tanh(x) = {exp(x) - exp(-x)}/{exp(x) + exp(-x)}
Domain:       -8e+307 to 8e+307
Range:        -1 to 1 or missing

```