Question

Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesion coordinates.

r = θ,     θ ≥ 0

Answer 1

Step 1:

The polar equation is .

Graph the function interms of in cartesion coordinates, that is 

Step 2:

Consider table for a different values of using increment of

Step 3:

Graph:

Draw the polar graph for

Connect these points to a smooth curve.

Solution:

Graph of the polar equation is,