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Question Number 203970 by CrispyXYZ last updated on 03/Feb/24

$$\mathrm{In}\mathrm{a}\mathrm{convex}\mathrm{quadrilateral}ABCD,$$$$\mathrm{if}\sin A=\cos B,\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{range}\mathrm{of}$$$$S=3\sin A+4\sin B+5\sqrt{2}\sin C+5\sqrt{2}\sin D.$$

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