Question

Draw the circle paramaterized by
x=4cos(t)−2
y=4sin(t)−1

Answer 1

The circle is centered at (-1,0) with a radius of 4.

Step-by-step explanation:

The given equation is x = 4cos(t) - 2y = 4sin(t) - 1.

This equation represents a circle with the center at (-1,0) and a radius of 4.

To find the center of the circle, we equate the x-coordinate to -1: 4cos(t) = -1, which gives t = π.

Substituting this value of t into the equation for y, we get 4sin(t) - 1 = 0, which gives sin(t) = 1/4. Thus, the y-coordinate of the center is 1/4.