- #1

Kaura

- 122

- 22

## Homework Statement

Suppose that a particle follows the path

r(t) = 2cos(t)i + 2sin(t)j

Give an equation (in the form of a formula involving x and y set equal to 0 ) whose whose solutions consist of the path of the particle.

## Homework Equations

None that come to mind

## The Attempt at a Solution

I set x = 2cos(t) and y = 2sin(t)

thus t = arcsin(y/2)

then x = 2cos(arcsin(y/2))

then x - 2cos(arcsin(y/2)) = 0

It says that this is wrong

I am not all to familiar with doing this type of problem though I suspect that the inverse trigonometric could be messing up the domain of the solution

This is the last problem I need for the homework so any help would be much appreciated