This assignment requires finding the distance between two points of intersection on a circle using trigonometric functions and understanding reflections over the x and y axes.

Consider angles A and B in standard position, in the xy-plane. The measure of angle A is ????4 radians, and the measure of angle B is 3????4 radians. The terminal rays of both angles intersect a circle centered at the origin with radius of 5 units. What is the distance between these two points of intersection: the circle and terminal ray of angle A and the circle and terminal ray of angle B? Explain. A: 7.071 units; the points of intersection are reflections of each other over the x-axis, therefore we can use sin⁡(????4)−5sin⁡(3????4) to calculate the vertical displacement. B: 7.071 units; the points of intersection are reflections of each other over the y-axis, therefore we can use 5cos⁡(????4)−5cos⁡(3????4) to calculate the horizontal displacement. C: 3.536 units; the points of intersection are reflections of each other over the y-axis, therefore we can use sin⁡(????4)+5sin⁡(3????4) to calculate the horizontal displacement. D: 3.536 units; the points of intersection are reflections of each other over the x-axis, therefore we can use cos⁡(????4)+5cos⁡(3????4) to calculate the vertical displacement.

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