arccsc

The trigonometric arccosecant function.

Syntax

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].

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