Express the following in the forma + ib. Give all values and make a polar plot of
the points or the vector vectors that represent your result.
is this the answer? =3*(cos pi/2 + i sin pi/2)
so how do we represent this on polar plot?
(b)(-64i)^(1/4)=(64^0.25)*(cos theta/4 + i sin theta/4)
here im getting theta= -pi and +pi so which one do we take?
Convert to polars:
By DeMoivre's Theorem
And remembering that the other square root only differs by an angle of , that means the other square root is
Converting back to Cartesians: