Please do all partsquestions thank you A Cartesian and a pol

Please do all parts/questions!! thank you!!

A Cartesian and a polar graph of r = 3 - 6 sin (3 theta) are gr.sn Identify the points on the polar graph that correspond to the points shown on the Cartesian graph. Which point on the polar graph corresponds to point A on the Cartesian graph? A Cartesian and a polar graph of r = 1 -4 cos (4 theta) are given. Identify the points on the polar graph that correspond to the posits shown on the Cartesian graph. Which point on the polar graph corresponds to point A on the Cartesian graph?

Solution

Part 1.

A point is at Pi/2

Therefore, r=3-6sin(3pi/2)=9   that represents the point 1 in second figure.

Part2.

A point is at Pi/2

Therefore, r=1-4cos(7pi/8)=9   that represents between the point 4 and 5 in second figure.