Question

Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.
x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π

A. x^2 - y^2 = 6; -6 ≤ x ≤ 6
B. x^2 - y^2 = 36; -6 ≤ x ≤ 6
C. x^2 + y^2 = 36; -6 ≤ x ≤ 6

Answer 1

since \(\cos^2(t)+\sin^2(t)=1\) you have \(x^2+y^2=36\)

Answer 2

parametric equation of circle:)

Answer 3

so it would be c?

Answer 4

yup:)

Answer 5

thank you