Questions 1. In lecture, we built a table of values to draw sketches of polar equations. We strategically chose the values of 0 in our table of values according to ? "quarter periods"; and ? values that corresponded to being at the origin. Consider the polar equation given by r = sin(20) - cos(6) for 0 ? (0,27]. (a) (2 marks) List all value(s) of 6 that correspond to "quarter periods" for this problem. (b) (4 marks) List all value(s) of 0 that correspond to being at the origin for this problem. Hint: it may be helpful to use a trig identity. (c) (5 marks) Using your answers from (a) and (b), build a table of values and use it to draw a reasonably accurate graph of r = sin(20) - cos(0). Be sure to test a few additional values of 0 to gain additional information to improve the accuracy of your plot. This one will take patience and focus. Take your time. 2. (4 marks) Consider the point (x,y) = (-1, -1) given in rectangular coordinates. Find all possible names for this point instead in terms of polar coordinates.

1. In lecture, we built a table of values to draw sketches of polar equations. We strategically chose the values of 0 in our table of values according to . "quarter periods"; and . values that corresponded to being at the origin. Consider the polar equation given by r = sin(20) - cos(0) for 0 E [0, 27]. (a) (2 marks) List all value(s) of 0 that correspond to "quarter periods" for this problem. (b) (4 marks) List all value(s) of 0 that correspond to being at the origin for this problem. Hint: it may be helpful to use a trig identity. (c) (5 marks) Using your answers from (a) and (b), build a table of values and use it to draw a reasonably accurate graph of r = sin(20) - cos(0). Be sure to test a few additional values of 0 to gain additional information to improve the accuracy of your plot. This one will take patience and focus. Take your time. 2. (4 marks) Consider the point (x, y) = (-1, -1) given in rectangular coordinates. Find all possible names wes office pint instead in terms of polar coordinates