HW 2.2 - Polar coordinates with Calculus 1 convert from polar coordinates to rectangular coordinates (a) (4,T/3) (b) (7, T) (c) (0, T/9) (d) (3, 5m/3) (e) (5, 3n/4) 2 convert from rectangular coordinates to polar coordinates (a) (5,5) (b) (-4,4V3) 3 convert the equation from polar to rectangular and draw the graph (a) r = 2sec0 (b) 0 = n/3 (c* graph only) r =0 4 find the slope of the tangent line to the graph at the given value of 0 (a) graph of r = 3, at 0 = 1/6 (b) graph of r = 1+3sin0, at 0 = IT/4 5* (a) Use the fact that x = r cos0 and y = r sin0 to get the distance formula for two points in polar coordinates, (r1, 01) & (r2, 02) (b) if you simplify, this is actually (a version of ) a formula from trig - which one? 6 An equation of a 3-petal rose is r=3cos30. Find the area enclosed in one petal [hint: -1/6