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Question Number 170084 by Beginner last updated on 16/May/22

Commented by cortano1 last updated on 16/May/22

$$\sin x=3(\frac{1}{2}\cos x+\frac{1}{2}\sqrt{3}\sin x)$$$$\sin x=\frac{3}{2}\cos x+\frac{3}{2}\sqrt{3}\sin x$$$$\left(\frac{2-3\sqrt{3}}{2}\right)\sin x=\frac{3}{2}\cos x$$$$\tan x=\frac{3}{2-3\sqrt{3}}=\frac{3(2+3\sqrt{3})}{4-27}$$$$\tan x=-\frac{6+9\sqrt{3}}{23}$$

Commented by mathlove last updated on 16/May/22

$$thanks$$

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