Verify that the polar curve corresponds to the parabola in Cartesian coordinates.

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Verify that the polar curve

r = \dfrac{2}{1+\sin\theta}

corresponds to the parabola

x^{2}=4\,(1-y)

in Cartesian coordinates.