(a) Consider the rectangular point (-1,-\sqrt{3})

(1,3). Find an equivalent point in polar coordinates (r,\theta)

(r,) where \theta

(b) Consider the polar point P = (4,7\pi/6)

P=(4,7/6). Convert it to rectangular coordinates. Then plot P

P in the xy

xy-plane. Make sure to show your work.

(c) In the xy

xy-plane, graph the set of points whose polar coordinates satisfy the inequalities -\pi/6 \leq \theta \leq \pi/2,\ \ -1 \leq r \leq 1.

/6/2,1r1.

02 Problem 1 10 Points (a) Consider the rectangular point (1, \\/). Find an equivalent point in polar coordinates (7', 0) where 9