Помогите, пожалуйста решить уравнения из теории комплексного анализа, пожалуйста

1) ln(z+i) = 1;
z+i = e^1 = e;
z = e-i.
2) ln(i-z) = 0;
i-z = e^0 = 1;
z = i-1.
3) ch(z) = i;
e^z + e^-z = 2i;
t = e^z;
t + 1/t = 2i;
t !=0 => t^2 - 2it + 1 = 0;
D = -4 - 4 = -8;
t = 1 +- i*sqrt2;
a) e^z = 1 + i*sqrt2;
z_0 = ln(1 + i*sqrt2) = ln (sqrt3) + i*arctg(sqrt2) = 1/2 ln 3 + i*arctg(sqrt2);
z = z_0 + 2pi*i*k.
b) e^z = 1 - i*sqrt2;
z_0 = ln(1 - i*sqrt2) = ln (sqrt3) - i*arctg(sqrt2) = 1/2 ln 3 - i*arctg(sqrt2);
z = z_0 + 2pi*i*k.
4) sin(z) = pi*i;
sin(z) = sh(iz)/i = pi*i;
sh(w) = -pi, w=zi;
e^w - e^-w = -2pi;
t = e^w;
t - 1/t = -2pi;
t !=0 => t^2 + 2pi*t - 1 = 0;
D = 4 pi^2 + 4;
t = -pi +- sqrt(pi^2 + 1);
a) e^w = -pi + sqrt(pi^2+1);
w_0 = ln(-pi + sqrt(pi^2+1)) = 1/2 ln (2pi^2 + 1) - i* arctg(pi + 1/pi);
z_0 = w_0 / i = -1/2 i*ln (2pi^2 + 1) - arctg(pi + 1/pi);
z = z_0 + 2pi*k;
z =
b) e^w = -pi - sqrt(pi^2+1);
w_0 = ln(-pi - sqrt(pi^2+1)) = 1/2 ln (2pi^2 + 1) + i* arctg(pi + 1/pi);
z_0 = w_0 / i = -1/2 i*ln (2pi^2 + 1) + arctg(pi + 1/pi);
z = z_0 + 2pi*k.

нах