Double Checking VVF graph

I have a curve with the parametrizations below and its coming up at two different lines when I graph it. I was going to try to make it a 3D plot with z=0 and it wouldn't let me. Does this look right? I feel like it should not be two separate lines, but I might be overthinking it.

syms t

x = (sqrt(3)*t- sin(t))/2

y = (t + sqrt(3)*sin(t))/2

r = [x y]

fplot(r)

Answer 1

[Star Strider]

‘... it wouldn't let me.’

Of course it will!

You just have to ask it nicely (and ask the correct plotting function)!

syms t
x(t) = (sqrt(3)*t- sin(t))/2 

x(t) = 

y(t) = (t + sqrt(3)*sin(t))/2

y(t) = 

z(t) = 0*t

z(t) = 

0

figure
fplot3(x, y, z, [-1 1]*25, 'LineWidth',2)

Make appropriate changes to get the desired result.

.

[Cassandra Meyer]

OH that makes so much sense thanks so much!!

[Star Strider]

As always, my pleasure!