MI-4 Polar Quiz Name ___________________________ Show enough work that I can reproduce your results. Clearly indicate your answers. All answers should be exact. TI-30 only 1. The following six ordered pairs of polar coordinates describe only two different points in the plane. Circle those that describe the rectangular point 2 3, 2 . The remaining ordered pairs describe the rectangular point 2. , . 31 4, 6 4, 6 5 4, 6 11 4, 6 23 4, 6 7 4, 6 Sketch the graph of r 5sin(3 ) . Label all points (using polar coordinates) at the extreme points of the petals. MI-4 Polar Quiz Name ___________________________ 3. Write a polar equation for each graph below. a. _______________________________ b. ______________________________ 4. Change each polar function to rectangular form. a. r 2 sin(2 ) b. r 2sec( ) 5. Change each rectangular function to polar form. a. x 2 y 2 2 x b. x 2 MI-4 Name ___________________________ Polar Quiz 5. Sketch the graph of r 2 3 4cos Label all points (using polar coordinates) where the graph intercepts the horizontal and vertical axes. Find all values of with 0 2 for which the graph passes through the pole (origin).