Describe the graph of the parametric equations $x=2 \cos \left(\frac{\pi}{t+1}\right), y=2 \sin \left(\frac{\pi}{t+1}\right)$ for $t$ 0.
A) A circle of radius 2, centered at the origin and traced in the clockwise direction.
B) The right half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point $(0,2)$.
C) The lower half of a circle of radius 2 , centered at the origin, traced in the counterclockwise direction, and never quite reaching the point $(2,0)$.
D) The upper half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point $(2,0)$.

Question

Describe the graph of the parametric equations $x=2 \cos \left(\frac{\pi}{t+1}\right), y=2 \sin \left(\frac{\pi}{t+1}\right)$ for $t>$ 0.
A) A circle of radius 2, centered at the origin and traced in the clockwise direction.
B) The right half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point $(0,2)$.
C) The lower half of a circle of radius 2 , centered at the origin, traced in the counterclockwise direction, and never quite reaching the point $(2,0)$.
D) The upper half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point $(2,0)$.

Quizplus · Accepted Answer

The Answer is D

Describe the Graph of the Parametric Equations x=2cos⁡(πt+1),y=2sin⁡(πt+1)x=2 \cos \left(\frac{\pi}{t+1}\right), y=2 \sin \left(\frac{\pi}{t+1}\right)x=2cos(t+1π​),y=2sin(t+1π​)

Describe the Graph of the Parametric Equations $x=2 \cos \left(\frac{\pi}{t+1}\right), y=2 \sin \left(\frac{\pi}{t+1}\right)$