Convert the equation to polar form. (use variables r and θ as needed.) x2 - y2 = 5

X²-y²=5

converting the above into polar form we shall have:

x=r cosθ; y=r sinθ

thus

x²-y²=5 will be written as:

(r cosθ) ² - (r sinθ) ²=5

r² cos²θ - r² sin²θ=5

factoring r² out we get:

r² (cos²θ - sin²θ) = 5

using trigonometric identity:

cos²θ - sin²θ=cos (2θ)

thus the expression will be:

r² (cos (2θ)) = 5

r²=5/cos (2θ)

hence;

r=√[5/cos (2θ) ]