Question

How do you change x(t) = sin x and y(t) = cos t from parametric form to non-parametric xy form?

Answer 1

inverse of x is equal to t

plug into y in place of t

Answer 2

so it would be y = cos (sin^-1 x)?

Answer 3

i like that

Answer 4

I'm really not understanding. Can you explain a little plz

Answer 5

do you recognize \((cos(t),\sin(t))\) as points on the unit circle?

Answer 6

yes

Answer 7

do you know the equation for the unit circle?

Answer 8

\[x^2+y^2=1\]

Answer 9

yup

Answer 10

(sint, cost) is the setup here tho, prolly doesnt make a difference tho

Answer 11

So the answer is simply the equation of a circle wit a radius of 1

Answer 12

as long as we are not trying to define a function .... yes

Answer 13

okay thanks