What conic section is drawn by the parametric equations x = csc t and y = cot t?
The conic section drawn by the parametric equations x = csc t and y = cot t is a hyperbola.
To see this, we can rewrite the equations in terms of sine and cosine functions:
x = csc t = 1/sin t
y = cot t = cos t/sin t
Therefore, x * y = 1, which is the equation of a hyperbola. So, the conic section is a hyperbola.