Question

How do you convert `r=2/(3cos(theta)-5sin(theta))` into cartesian form?

Answer 1

`3x-6y=2` that represents a straight line.

Explanation:

The conversion formula is `r(cos theta, sin theta)=(x, y)`.

Cross multiplying and making these substitutions,

3x-5y=2.

See the graph.

graph{3x-5y-2=0 [-2.804, 2.803, -1.401, 1.402]}