The graph and the equation above the graph do not match the given equation. The correct graph is a horizontal flip of the one given. Section 5.4, problem 55. Section 6.5, page 509, problems 27-30. Section 6.5, page 509, problems 31-44.
Problems are in trig form with r and theta easily identifiable.
Its easy to find exact values with a reference triangle of 30 degrees in the second quadrant. One way to draw the graphs is to draw a line segment. First, make window settings appropriate for your graph or like the ones in the solutions manual . Section 10.4, page 789, problem 15. Notice that the angle is in the 4th quadrant.