Algosim documentation: arccsc

arccsc

The trigonometric arccosecant function.

Syntax

Description

Image 1

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

See also