a Convert the equation given in polar form to rectangular fo

a) Convert the equation given in polar form to rectangular form. r=2sec(theta)

b) Graph: r=5sin(theta)

List 5 coordinates in form (r,(theta))

Solution

a. r=2 sec theta =2/cos theta

r cos theta=2

y=2

b. r=5 sin theta

when theta=0, r=0

when theta=pi/2, r=5

when theta=pi, r=0

when theta=3pi/2, r=-5

when theta= 2pi, r=5