arccsc
The trigonometric arccosecant function.
Syntax

arccsc(x)

x
is a real or complex number

Description
For real values, arccsc is the inverse of the restriction of the trigonometric cosecant function to [−π/2, π/2] ∖ {0}; the domain is ℝ ∖ (−1, 1).
In general, arccsc(z)
is defined as
arccsc(z) = −i⋅ln(i/z + √(1 − 1/z^2))
where z
is a complex number. Notice that the general definition will be used also for real arguments in [−1, 1].
Examples
arccsc(2/√3)
1.0471975512 (=π/3)
arccsc(−2)
−0.523598775598 (=−π/6)
arccsc(0.5)
1.57079632679 − 1.31695789692⋅i
arccsc(i)
−0.88137358702⋅i