Final answer:
To find the point on the unit circle that corresponds to an angle of -5π/4, we need to determine the coordinates of the point on the unit circle that is π/4 radians in the clockwise direction from the positive x-axis. The point on the unit circle that corresponds to 3π/4 is (-√2/2, √2/2).
Step-by-step explanation:
The question is asking for the point on the unit circle that corresponds to an angle of -5π/4.
To find this point, we need to determine the coordinates of the point on the unit circle that is π/4 radians in the clockwise direction from the positive x-axis.
Since the unit circle has a circumference of 2π and is divided into 4 quadrants, each quadrant represents a quarter of the circumference. So, -5π/4 is equivalent to 3π/4.
The point on the unit circle that corresponds to 3π/4 is (cos(3π/4), sin(3π/4)), which simplifies to (-√2/2, √2/2).