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 = 6; -6 ≤ x ≤ 6

D. x^2 + y^2 = 36; -6 ≤ x ≤ 6

Answer 1

so, if x= 6cos(t), what would that make cos(t) = ?

Answer 2

ok, so if
x = 6a, what would "a" be equal to? solving by "a" I'm assuming you know how to factor :|

Answer 3

c

Answer 4

so if x= 6a, a =c ? that's a new one, but ok

Answer 5

im saying the answer i choose it C

Answer 6

oh

Answer 7

well, we don't know, that's the reason why we're looking for the cos(t) :)

Answer 8

I don't think is what your teacher had in mind

Answer 9

once you solve it, thus you'd know

Answer 10

ok let me figure it out brb

Answer 11

since cos2(t)+sin2(t)=1 you have x2+y2=36
the answer is D x^2 + y^2 = 36; -6 ≤ x ≤ 6

Answer 12

yes :), and yes, is an ellipse, thus "x" moves about from -6 to 6, depending on what "t" gets

Answer 13

;-) yayy