PDA

View Full Version : parametric equations


ILoveBaseball
Mar27-05, 06:55 PM
The circle (x-3)^2 + (y-4)^2 = 9 can be drawn with parametric equations.
Assume the circle is traced clockwise as the parameter increases.

if x = 3+3cos(t) then y= _______?

wouldnt y just be 3+4sin(t)?

whozum
Mar27-05, 07:10 PM
Notice the circle is drawn clockwise, your parameter is -t.

Also for your y component, you multiply sin(t) by the radius of the circle. The radius of this circle is 3, not 4. so y = 4+3sin(-t) = 4-3sin(t)