Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= - 6 sec (t), y = 6 tan (t), -

Algebra and Trigonometry (MindTap Course List)
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 9CT
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Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the
particle and the direction of motion.
x= - 6 sec (t), y = 6 tan (t).
Choose the correct answer for the Cartesian equation representing the same path defined by the given parametric equations.
O A. (x-y)? = 36
36 36 =1
OC. (x-y = 72
OD. x- = 72
OB.
Choose the correct graph that represents this motion.
O A.
O B.
Oc.
Ay
10
Transcribed Image Text:Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= - 6 sec (t), y = 6 tan (t). Choose the correct answer for the Cartesian equation representing the same path defined by the given parametric equations. O A. (x-y)? = 36 36 36 =1 OC. (x-y = 72 OD. x- = 72 OB. Choose the correct graph that represents this motion. O A. O B. Oc. Ay 10
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