convert each equation from polar form to rectangular form.type the equation in rectangular form and state what type of graph is formed. 1.r=3sec theta 2.r

Question

convert each equation from polar form to rectangular form.type the equation in rectangular form and state what type of graph is formed.

1.r=3sec theta

2.r=5/(cos theta -2sin theta)

And convert each of the following equations from rectangular form to polar form.

1.2x-3y=5

2.x^2+y^2=10

Answer 1

1)  r = 3(r/x);   therefore x = 3

 

2)  r(cos θ - 2 sin θ) = 5;

   r(x/r - 2y/r) = 5;     x - 2y = 5.