z = ln(1/2 +-(sqrt(5)/2)
z = ln(1+sqrt(5)/2) and z = ln(1-sqrt(5)/2)
z = ln(3.24)-ln(2)+2k*pi*i and z = ln(1.24)-ln(2)+2k*pi*i
0.48+2k*pi*i and -0.48+2k*pi*i
we can say +-1/2 + 2k*pi*i
is this solution correct?
Homework Statement
Find all the roots of sin h(z) = 1/2
2. The attempt at a solution
sin h(z) = [1/2](e^z - e^-z) = 1/2
=> e^z -e^-z = 1
=> e^2z - e^z - 1 = 0 {multiplied e^z bothsides}
this is a quadratic equation in e^z using quadratic formula,
e^z = [1+- sqrt(5)]/2
taking 'ln' on...