Consider the curve C parametrized by

Question

x = cos (8t) and y = sin (8t), for
0 ≤ t ≤ 𝜋/8

and traversed by a particle moving along C with increasing values of t. Choose the correct answer below.

The particle travels clockwise, traversing 1/16 of the unit circle.
The particle travels counterclockwise, traversing 1/16 of the unit circle.
The particle travels clockwise, traversing 1/8 of the unit circle .
The particle travels counterclockwise, traversing 1/8 of the unit circle.
The particle travels clockwise, traversing 1/2 of the unit circle.
The particle travels counterclockwise, traversing 1/2 of the unit circle.
The particle travels clockwise, 8 times around the unit circle.
The particle travels counterclockwise, 8 times around the unit circle.
Incorrect: Your answer is incorrect.

Answer 1

The correct answer is: The particle travels clockwise, traversing 1/8 of the unit circle.

Answer 2

no it isnt

Answer 3

as t goes from 0 to π/8, 8t goes from 0 to π
so, counterclockwise halfway around the circle