Question

The letters r and θ represent polar coordinates.Write the equation using rectangular coordinates

(x, y).

r^2 = cos θ

Answer 1

Step 1:

The equation is .

Multiply each side by .

Use the laws of exponents : .

.

Transform the equation from polar coordinates to rectangular coordinates,

.

Substitute in equation .

Use the laws of exponents : .

.

Solution :

.