rewrite the complex number in polar form.

Question

rewrite the complex number in polar form, z=r(cos(theta )+isin(theta ))

z= (1/2)+(sqrt 3/2)i=? 

 

A. cos(pi/2)+isin(pi/2)

B. cos(pi/3)+isin(pi/3)

C. cos(pi/4)+isin(pi/4)

D. cos(pi/6)+isin(pi/6)

Answer 1

Look at the real & imaginary parts, which are horizontal & vertical components of the vector from the origin to a point in the complex plane.  This vector has length r=1 and angle 60 degrees, so theta = pi/3. Thus, B is the answer.