Question

Find a polar equation for the curve represented by the given Cartesian equation. x^2-y^2=1

Answer 1

Use:

x = rcosθ and y = rsinθ.

Then:

x² + y² = 1
==> (rcosθ)² + (rsinθ)² = 1
==> r²cos²θ + r²sin²θ = 1
==> r² * (cos²θ + sin²θ) = 1
==> r² = 1

Then since r > 0, we can take the positive square root to get r = 1

Answer 2

err wrong signs

Answer 3

what do you mean wrong signs?

Answer 4

u put -y^2

i accidentally put +

Answer 5

how did you get ==> r² * (cos²θ + sin²θ) = 1 ==> r² = 1.. Do I just divide by the (cos²θ + sin²θ) to get 1? (like if i replace the plus sign with a subtraction sign)