Rewrite the complex number in polar form

Question

Rewrite the complex number in polar form, z=r(cos(θ)+i sin(θ))

a) cos(pi/2)+i sin(pi/2)

b) cos(pi/4)+i sin(pi/4)

c) cos(pi/6)+i sin(pi/6)

d) cos(pi/3)+i sin(pi/3)

 

Answer 1

a) i =(1, pi/2)

b) .5sqr2 + .5isqr2 = (1, pi/4)

c) (sqr3)/2 + i/2 = (1, pi/6)

d) 1/2 + (sqr3)i/2 = (1, pi/3)