Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):
One with r > 0: (3, 9π/4)
One with r < 0: (-3, 5π/4)
To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.
(b) To find two other pairs of polar coordinates of (2, -2π/3):
One with r > 0: (2, 4π/3)
One with r < 0: (-2, π/3)
To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.
(c) To find two other pairs of polar coordinates of (-2, π/6):
One with r > 0: (2, 7π/6)
One with r < 0: (-2, 19π/6)
To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.