Thread: Equation of type sin(z) = w

COMPLEX ANALYSIS:
Can somebody please thoroughly explain to me why the solution to

sin(z) = w

is

z = -i*log (i*w + (1-w^2)^(1/2))

and not

z = -i*log (i*w ± sqrt(1-w^2))

If then not by the Pythagorean theorem.

So, you have:

Thanks