Final answer:
To convert the polar coordinate (7, 5π/4) to Cartesian coordinates, we calculate x = 7 * cos(5π/4) and y = 7 * sin(5π/4), resulting in the Cartesian coordinates (-7√2/2, -7√2/2).
Step-by-step explanation:
To convert the polar coordinate (7, 5π/4) to Cartesian coordinates, we use the conversion formulas:
Here, r = 7 (the radial distance from the origin) and θ = 5π/4 (the angle in radians from the positive x-axis).
So,
The Cartesian coordinates are (-7√2/2, -7√2/2).