Question

On a polar coordinate plane, point a is at (4, π/4), point b is at (4, 3π/4), point c is at (4, 5π/4), point d is at (4, 7π/4). Which point has coordinates (4, 3π/4)?

Answer 1

In a polar coordinate plane, point b has the coordinates (4, 3π/4), which means it is 4 units from the origin at an angle of 135 degrees from the positive x-axis.

Step-by-step explanation:

The point that has coordinates (4, 3π/4) in a polar coordinate system is point b. In polar coordinates, the first number represents the radius (distance from the origin) and the second number represents the angle in radians from the positive x-axis (counterclockwise direction). Point b is 4 units away from the origin and the angle is 3π/4 radians, which corresponds to 135 degrees in the polar coordinate plane.