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Mathematics
Problem
Verify that the polar curve
r
=
2
1
+
sin
θ
r = \dfrac{2}{1+\sin\theta}
r
=
1
+
sin
θ
2
corresponds to the parabola
x
2
=
4
(
1
−
y
)
x^{2}=4\,(1-y)
x
2
=
4
(
1
−
y
)
in Cartesian coordinates.
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