Given the rectangular coordinates (1,-V3) , which of the following polar coordinate pairs in radians represents the same point? O A. -4, 3 O B. 47T 4, 3 O C. (-2, O D. 57T 2, 3If r 1' I] . which of the following polar coordinate pairs represents the same point as the point with polar coordinates (r, 9)? Select all that apply. : A. ('39 21r) _ B. (r,6+7r) C. (r,9 1r) D. (ma371') Describe the position of the polar coordinates on the polar plane for (4,120). O A. on the fourth circle from the center and 120 clockwise from the horizontal axis 0 B. on the fourth circle from the center and 60 counterclockwise from the horizontal axis 0 C. on the fourth circle from the center and 240 clockwise from the horizontal axis 0 D. on the fourth circle from the center and [l clockwise from the horizontal axis Rewrite r = 1.5 sin 0 in rectangular form. O A. x2 +y2 + 1.2y= 0 O B. x2 - y2 + 3y=0 O C. x2+ y2 -1.5y= 0 O D. x2+ y2 - 2.25x = 0Convert the rectangular equation x2 + y2 -8y=0 into a polar equation. O A. r= 8 cos 0 O B. r= 8cose O C. r= 8 sin 0 O D. r= visineWhich of the following types of symmetry does the graph of the equation r= 5 005 39 have? 0 A. symmetry about the pole O B. symmetry about the vertical axis 0 C. symmetry about the horizontal axis 0 D. no symmetry The graph of r . -10 case has which of the following characteristics? 0 A. circle, radius of 10, center at (5, 0) O B. circle, radius of 10, center at (-10, 0) O C. circle, diameter of 10, center at (5, 0) O D. circle, diameter of10, centerat (10.0) Shay ueated the table below to graph the equation 1- . 3 - sin a (rounded to the hundredths place). Analyze the table. Did Shay make a mistake? If there is a mistake, which point is incorrect\"? O C. [2%] O D. Shay did not make a mistake. Use the graph to answer the question. Which equation represents the given graph? \f12 Describe the graph represented by the equation r = 4+8 sin & O A. ellipse, horizontal directrix at a distance of NIW units above the pole O B. hyperbola, vertical directrix at a distance of 3 units to the right of the pole . C. hyperbola, horizontal directrix at a distance of NIW units above the pole O D. ellipse, vertical directrix at a distance of 3 units to the right of the pole\f4 0 23 4 5 7 n 4 4 37t 2 Use the image to answer the question. Write the equation for the graph of the limacon.\fUse the graph to answer the question. Write the equation for the graph of the rose curve. \fWhich of the following equations would graph 3 lemniscate? O A. r=23in49 O 8- r2=4sin26' O C. r=4+25in6 0 D. r' =4sin26 74 V3 cos 57T +i sin . Write the answer in rectangular form. Use DeMoivre's Theorem to evaluate the expression 6 6 O A. 913 9 2 N O B. 9v 2 O C. W 2 O D. 9 /3 9 + 2 2Using mathematically precise language. explain in detail how you would multiply the complex number 21:50:ch +isin :91) with the complex number 7': =r,[cos&a+isinsa)_