Parametric to Cartesian?

Question

How would you change this parametric equation to Cartesian?

x = sin(2πt)
y = cos(2πt)

Answer 1

It's a circle centered at the origin with radius 1.

x² + y² = sin²(2πt) + cos²(2πt) = 1

x² + y² = 1

Answer 2

Use the well-known trigonometric identity

sin²a + cos²a = 1.

Inserting 2πt for a gives

x² + y² = 1

which is the Cartesian equation of the unit circle with center in (0,0). Done!

All the best,
Mikey

Answer 3

The given form is parametric because of the fact x and y are the two given in terms of the parameter t. to alter it to Cartesian you opt for for to get rid of t, leaving a single equation connecting x and y (no point out of t). attempt squaring each parametric equation then including them up...