Solve r^2 = 3 cos(2\theta )

Evaluate

r^{2} = 3 cos (2 θ)

Simplify the expression

r^{2} = 3 cos^{2} (θ) - 3 sin^{2} (θ)

Multiply both sides

r^{4} = 3 (r cos (θ))^{2} - 3 (r sin (θ))^{2}

Rewrite the expression

- 3 (r cos (θ))^{2} + 3 (r sin (θ))^{2} + r^{4} = 0

Solution

More Steps

- 3 x^{2} + 3 y^{2} + x^{4} + 2 x^{2} y^{2} + y^{4} = 0

Solve the equation