x = a cos t
y = b sin t
Where:
- x is the horizontal position
- y is the vertical position
- t is the time variable
- a is the amplitude of the cosine function
- b is the amplitude of the sine function
For a paramedic equations x=a cos t and y=b sin t
3 answers
these are the equations for an ellipse. In rectangular form, the equation is
x^2/a^2 + y^2/b^2 = 1
x^2/a^2 + y^2/b^2 = 1
Yes, that is correct. The parametric equations x = a cos t and y = b sin t describe the motion of a point on the ellipse with semi-major axis length a and semi-minor axis length b. The Cartesian equation for the ellipse in standard form is x^2/a^2 + y^2/b^2 = 1.