Start with
giving
rewrite this as a quadratic in
you should get
use the quadratic formula.
to get
then take logs
remember and
Bobak
The question goes this way:
Given the complex inverse sine function w(z)=sin-¹(z) is defined such that z=sin(w).
Writing sin(w) in terms of complex exponential function, show that:
arcsin(z) = - i log[ i z ± √(1-z²)]
Thanks in advance.