Match each of the graphs below to one of the following polar

Match each of the graphs below to one of the following polar equations. Write the complex number in polar form. 9 Squareroot 3 + 9i

1. a) r =2 --- Option E

b) theta = pi/4 --- Option A

c) r = 2costheta--- Option F

d) rcostheta = 2 ---- Option B

e) r = 1+ costheta ---- Option H

f) r = 2sintheta ---- Option G

g) theta = 3pi/4 ---- Option D

h) rsintheta = 2 --- Option C

2. 9sqrt3 + 9i

r = sqrt((9sqrt3)^2 + 81) = 18

theta = tan^-1(1/sqrt3) = pi/6

z = re^i*theta = 18e^i*pi/6