Question

If z is a complex number such that z =4 and arg (z)=5pie/6 then z is equal to

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

z=|z|(e^img(z))

=4(e^i5π6)

=4(cos5π/6+i sin5π/6)

=4[cos(π−π/6)+i sin(π−π/6)]

=4[−√3/2+i 1/2]

=2[−√3+i]

z=−2√3+2i