- Convert the following polar equations to rectangular form:
- r= 5sin 0
- r=sin 0+ cos 0

Guest Sep 15, 2016

#1**+5 **

r= 5sin 0

r = 5 [ y/r ] multiply both sides by r

r^2 = 5y

x^2 + y^2 = 5y

x^2 + y^2 - 5y = 0 if we wish, we can put this in standard form by completing the sqaure on y

x^2 + (y - 5/2)^2 = 25/4

r= sin 0+ cos 0

r = y/r + x/r multiply through by r

r^2 = y + x

x^2 + y^2 = y + x

x^2 - x + y^2 - y = 0 complete the square on x and y

(x - 1/2)^2 + (y - 1/2)^2 = 1/2

CPhill
Sep 15, 2016