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Category: Geometry

Question-200475

Question Number 200475 by Rupesh123 last updated on 19/Nov/23 Answered by AST last updated on 19/Nov/23 2sin20PC=1ACPCAC=2sin20LetPBC=x;sinxPC=cos10BCBC=PCcos(10°)sin(x)sin(20+x)AC=sin50BC=sin50sinxPCcos10PCAC=sin50sinxcos(10)sin(20+x)$$\Rightarrow\mathrm{2}{sin}\mathrm{20}=\frac{{sin}\mathrm{50}{sinx}}{{cos}\mathrm{10}{sin}\left(\mathrm{20}+{x}\right)}\Rightarrow\frac{{sinx}}{{sin}\left(\mathrm{20}+{x}\right)}=\frac{\mathrm{2}{sin}\mathrm{20}{cos}\mathrm{10}}{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \mathrm{20}} \