What conic section is drawn by the parametric equations x=csc t and y cot?

A. Parabola

B. Circle

C. Ellipse

D. Hyperbola

If we take the square of x and square of y and then subtract them:

(csc t) ² - (cot t) ²=1 (this eq. gets from basic identity

x²-y²=1 ... a 1+cot²x=csc²x)

equation 'a' represent the equation of hyperbola which is (x²/a²) - (y²/b²) = 1 with given conditions (a=1, b=1)

So, option D is correct