Solved: "How do you conver r2cos⁡(2θ)=1 into cartesian form?"

dedica66em

Answered question

2021-12-12

How do you conver

r^{2} \cos (2 θ) = 1

into cartesian form?

Matthew Rodriguez

Beginner2021-12-13Added 32 answers

x^{2} - y^{2} = 1 .

Explanation:
The Gven Polar eqn. is

r^{2} \cos (2 θ) = 1

i.e.,

r^{2} \cos^{2} θ - r^{2} \sin^{2} 2 θ = 1

Since,

x = r \cos θ . and , y = r \sin θ

we get the cartesian eqn,

x^{2} - y^{2} = 1

Buck Henry

Beginner2021-12-14Added 33 answers

Thank you, you saved me 2 hours of time

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