# ArcTrigonometricFunctionCategory¶

Category for the inverse trigonometric functions.

acos: % -> %
acos(x) returns the arc-cosine of x. When evaluated into some subset of the complex numbers, one branch cut for acos lies along the negative real axis to the left of -1 (inclusive), continuous with the upper half plane, the other along the positive real axis to the right of 1 (inclusive), continuous with the lower half plane.
acot: % -> %
acot(x) returns the arc-cotangent of x.
acsc: % -> %
acsc(x) returns the arc-cosecant of x.
asec: % -> %
asec(x) returns the arc-secant of x.
asin: % -> %
asin(x) returns the arc-sine of x. When evaluated into some subset of the complex numbers, one branch cut for asin lies along the negative real axis to the left of -1 (inclusive), continuous with the upper half plane, the other along the positive real axis to the right of 1 (inclusive), continuous with the lower half plane.
atan: % -> %
atan(x) returns the arc-tangent of x. When evaluated into some subset of the complex numbers, one branch cut for atan lies along the positive imaginary axis above %i (exclusive), continuous with the left half plane, the other along the negative imaginary axis below -%i (exclusive) continuous with the right half plane. The domain does not contain %i and -%i.