ArcTrigonometricFunctionCategory

trigcat.spad line 49 [edit on github]

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.