Find the parametric equations of a unit circle where you start at point (0,1) at t=0 and you travel clockwise with a period of 2π?
x(t)=?
y(t)=?
3 answers
I know setting x(t)=cos(t) and y(t)=-sin(t) will make the circle travel clockwise but I'm not sure exactly on how I can make it start at the specific point (0,1)?
Any ideas anyone?
x=cos(t)
y=sin(t)
This will start at (1,0), but you want to start at (0,1)
Since cos(0) = 1, you need
y = cos(t)
x = sin(t)
Now you can see that as t->pi/2,
y goes down and x goes to the right. That makes it clockwise.
y=sin(t)
This will start at (1,0), but you want to start at (0,1)
Since cos(0) = 1, you need
y = cos(t)
x = sin(t)
Now you can see that as t->pi/2,
y goes down and x goes to the right. That makes it clockwise.
2 answers