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Question Number 155628 by amin96 last updated on 03/Oct/21

Answered by mr W last updated on 03/Oct/21

$$BM=MC=1$$$$AC=2\sqrt{2}$$$$\frac{1}{\cos (45+x)\sin 30}=\frac{2\sqrt{2}}{\sin (30+x)}$$$$\frac{1}{\cos x-\sin x}=\frac{2}{\cos x+\sqrt{3}\sin x}$$$$(2+\sqrt{3})\sin x=\cos x$$$$\tan x=\frac{1}{2+\sqrt{3}}=2-\sqrt{3}$$$$\Rightarrow x=15°$$

Commented by Tawa11 last updated on 03/Oct/21

$$\mathrm{Great}\mathrm{sir}$$

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