8.05 1. find the rectangular coordinates of the point with the polar coordinates (1, 1 divided by 2 pi ). (1 point) a) (0, -1) b) (1, 0) c) (0, 1) d) (-1, 0) 2. find the rectangular coordinates of the point with the polar coordinates ordered pair 3 comma 5 pi divided by 3 . a) ordered pair negative 3 divided by 2 comma 3 divided by 2 b) ordered pair 3 divided by 2 comma negative 3 square root 3 divided by 2 c) ordered pair negative 3 square root 3 divided by 2 comma 3 divided by 2 d) ordered pair 3 divided by 2 comma negative 3 divided by 2 3. find all polar coordinates of point p where p = (9, pi divided by 5 ). a) (9, pi divided by 5 + 2nπ) or (-9, pi divided by 5 + 2nπ) b) (9, pi divided by 5 + (2n + 1)π) or (-9, pi divided by 5 + 2nπ) c) (9, pi divided by 5 + nπ) or (-9, pi divided by 5 + nπ) d) (9, pi divided by 5 + 2nπ) or (-9, pi divided by 5 + (2n + 1)π) 4. determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°. a) (2 square root of 2 , 225°), (-2 square root of 2 , 45°) b) (2 square root of 2 , 135°), (-2 square root of 2 , 315°) c) (2 square root of 2 , 315°), (-2 square root of 2 , 135°) d) (2 square root of 2 , 45°), (-2 square root of 2 , 225°) 5. use your grapher to determine which of the graphs matches the polar equation r = 1 + 2 cos θ. a) a circular graph with an inner loop on the left b) a circle tangent to the y-axis, symmetric about the axis, and lying in quadrants one and four c) a circular graph with an indentation on the left to the origin d) a graph of four loops originating at the origin lying on and symmetric about the and y-axes 6. find all polar coordinates of point p = (2, 14°).