Which of the following is the Cartesian equation for the parametric equation x = 2tan(t), y = 5sec(t)?

Question

Which of the following is the Cartesian equation for the parametric equation x = 2tan(t), y = 5sec(t)?

A	y = x2 - 9, for x in [-3,3]
B
C
D

Answer 1

tan(t) = x/2; sec(t) = y/5; sec²(t) - tan²(t) = 1. From here we have y²/25 - x²/4 = 1

Answer is B: hyperbola y²/25 - x²/4 = 1