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## Homework Statement

Describe motion of a particle w/ position xy

## Homework Equations

x=cospi(t) y=sinpi(t)

## The Attempt at a Solution

solving for t

t=x/cospi

so y=sinpi(x)/cospi

y=tanpi(x)

interval=at least one at most 2

since tan(x)=0 at pi and 2pi

and this is where the boundaries are so the particle travels from pi and 2pi counterclockwise

but the textbook has a different (but reasonable) answer in that it squares cos pi and

sin pi to equal 1 and uses the circle equation but ends up with the same diagram and

direction. If I went wrong, can you please tell me where I went wrong since my answer

seems legit to me.