Which parametric equations describe a spiral beginning at the origin for $t \geq 0 ?$
A) x=t cos t and y=t sin t
B) x=t sin t and y=t sin t
C) x=5 cos t and y=5 sin t
D) x=cos t and y=sin t
E) x=t and y=sin t

Question

Which parametric equations describe a spiral beginning at the origin for $t \geq 0 ?$
A)  x=t cos t  and  y=t sin t 
B)  x=t sin t  and  y=t sin t 
C)  x=5 cos t  and  y=5 sin t 
D)  x=cos t  and  y=sin t 
E)  x=t  and  y=sin t

Quizplus · Accepted Answer

Option A, $x=t \cos t$ and $y=t \sin t$, describes a spiral that starts at the origin and expands outward as $t$ increases. This is because the $t$ multiplier increases the radius of the spiral over time, creating the spiral effect.

Which Parametric Equations Describe a Spiral Beginning at the Origin t≥0?t \geq 0 ?t≥0?

Which Parametric Equations Describe a Spiral Beginning at the Origin $t \geq 0 ?$