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Question Number 144780 by imjagoll last updated on 29/Jun/21

$$\mathrm{Let}\mathrm{x}\in [-\frac{5\pi }{12},-\frac{\pi }{3}],\mathrm{then}\mathrm{the}$$$$\mathrm{maximum}\mathrm{value}\mathrm{of}$$$$\mathrm{y}=\tan (\mathrm{x}+\frac{2\pi }{3})-\tan (\mathrm{x}+\frac{\pi }{6})+\cos (\mathrm{x}+\frac{\pi }{6})$$$$\mathrm{is}$$

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