Suppose that the position of one particle at time t is given by x1 = 5 sin(t),    y1 = 2 cos(t),    0 ≤ t ≤ 2? and the position of a second particle is given by x2 = −5 + cos(t),    y2 = 1 + sin(t),    0 ≤ t ≤ 2?.   1) find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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Suppose that the position of one particle at time t is given by

x1 = 5 sin(t),    y1 = 2 cos(t),    0 ≤ t ≤ 2?

and the position of a second particle is given by

x2 = −5 + cos(t),    y2 = 1 + sin(t),    0 ≤ t ≤ 2?.
 
1) find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)
 
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