A plane curve is defined by the following paramedic equation:
x=2cos(t)
y=sin(t)
which of the following statements best describes the curve?
A) the parameter is x and the curve contains the points y=sin(t)
B) the parameter is y and the cube contains the points x=2cos(t)
C) the parameter is t and the curve contains the set of points (2cos(t),sin(t))
D the parameter is t and the curve contains the points (sin(t),2cos(t))
x = 2 cos t and y = sin t \\ For the given parametric equations the common between them is t \\ So. The parameter is t. \\ The general coordinates for the points of the curve will be (x,y) \\ So, the coordinates will be ( 2 cos t , sin t ) The correct answer is option C C) the parameter is t and the curve contains the set of points (2cos(t),sin(t))
