Describe the parametric equations which traces the unit circle starting (-1,0) in a clockwise direction.

Step-by-step explanation:

There are several ways we can do this.

x = cos t, y = sin t, t ≥ 0 traces the unit circle in a counterclockwise direction starting at (1, 0).

To change the direction, we can multiply one of these by -1.  Then choose an initial value of t so that the starting point is (-1, 0).

x = -cos t, y = sin t, t ≥ 0

x = cos t, y = -sin t, t ≥ π

Or, we can change the direction by switching the equations.

x = sin t, y = cos t, t ≥ 3π/2

We can also multiply both by -1:

x = -sin t, y = -cos t, t ≥ π/2

Of these four examples, I would say the first is the simplest and most straightforward, but all of them achieve the same result.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d