Finding the Distance Between Two Points of Intersection on a Circle

Consider angles A and B in standard position, in the xy-plane. The measure of angle A is 𝜋4 radians, and the measure of angle B is 3𝜋4 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⁡(𝜋4)−5sin⁡(3𝜋4) 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⁡(𝜋4)−5cos⁡(3𝜋4) 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⁡(𝜋4)+5sin⁡(3𝜋4) 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⁡(𝜋4)+5cos⁡(3𝜋4) to calculate the vertical displacement.