First we wish to find polar coordinates with r 0 To find the positive value of r we choose the positive square root to solve for r SE 50 5 2 We are also asked to find such that 0 8 2 As 5 5 is in the fourth quadrant we choose a value of 0 in the fourth quadrant with 0 0 2 such that tan 0 1 7 4 7 8 To finish we find that polar coordinates of the given point with the required conditions are as follows 77 7T 5 2 4 4 r 8 50 r 5 Step 3 We are asked to find a second pair of polar coordinates for the Cartesian coordinates 5 5 We have found the following 2 50 We must now find polar coordinates with r 0 To find the negative value of r we choose the negative square root to solve for r