One method for graphing a polar equation is the point-plotting method. We substitute convenient values of $\theta $ into the equation and then determine the values for $r$.
Work Step by Step
One method for graphing a polar equation such as $r=a\sin \theta $ is the point-plotting method. Under this method we first make a table of values that satisfy the equation. Then, we plot these ordered pairs as points in the polar coordinate system. At last, we connect the points with a smooth curve. This often gives us a picture of all ordered pairs $\left( r,\theta \right)$ that satisfy the equation.