Question

Given the following parametric equations, determine the coordinates of

the curve when t=60°.

x=2t
y= -3t
Show all work.

Answer 1

`(120\degree,-180\degree)`

Explanation:

The given parametric equation is

x=2t

y= -3t

The coordinates of any point lying on this curve can be obtained by substituting the parameter value.

Given the parameter value, t=60

We have

`x=2(60\degree)=120\degree`

and

`y=-3(60)=-180\degree`

Therefore the point
`(120\degree,-180\degree)`

lie on this parametric curve.