Please suggest the solution for x in the equation cosx - j sinx = 0, where j = iota, or the complex number?

Question

Please suggest the solution for x in the equation cosx - j sinx = 0, where j = iota, or the complex number?

Answer 1

note:

cos A + i sin A = e^(iA)

now

cos x - i sin x = cos(-x) + i sin(-x) = e^(-ix)

but

e^(-ix) = 0

is NOT possible .. . .

(the exponential function is always positive)

thus there is no solution for the system.