If and satisfy and

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

Problem

If r>0,−π≤θ≤πr > 0, -\pi \le \theta \le \pi and r,θr, \theta satisfy rsin⁡θ=3r \sin \theta = 3 and r=4(1+sin⁡θ)r = 4(1 + \sin \theta), then find the possible solutions of the pair (r,θ)(r, \theta).

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