If the area and angle of are given

MATHEMATICS · Multi correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If the area Δ\Delta and angle CC of △ABC\triangle ABC are given, and the side cc opposite angle CC is minimum, then (1) a=2Δsin⁡Ca=\sqrt{\dfrac{2\Delta}{\sin C}} (2) b=2Δsin⁡Cb=\sqrt{\dfrac{2\Delta}{\sin C}} (3) a=4Δsin⁡Ca=\dfrac{4\Delta}{\sin C} (4) b=4Δsin⁡2Cb=\dfrac{4\Delta}{\sin^2 C}

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