Problem

Problem

If θ∈[0,3π]\theta \in [0, 3\pi] and r∈Rr \in \mathbb{R} . Then, find the pairs of (r,θ)(r, \theta) satisfying 2sin⁡θ=r4−2r2+32 \sin \theta = r^4 - 2r^2 + 3 .

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