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Let-x-5pi-12-pi-3-then-the-maximum-value-of-y-tan-x-2pi-3-tan-x-pi-6-cos-x-pi-6-is-




Question Number 144780 by imjagoll last updated on 29/Jun/21
 Let x∈[−((5π)/(12)),−(π/3)] , then the    maximum value of     y=tan (x+((2π)/3))−tan (x+(π/6))+cos (x+(π/6))   is
$$\:\mathrm{Let}\:\mathrm{x}\in\left[−\frac{\mathrm{5}\pi}{\mathrm{12}},−\frac{\pi}{\mathrm{3}}\right]\:,\:\mathrm{then}\:\mathrm{the}\: \\ $$$$\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\:\mathrm{y}=\mathrm{tan}\:\left(\mathrm{x}+\frac{\mathrm{2}\pi}{\mathrm{3}}\right)−\mathrm{tan}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{6}}\right)+\mathrm{cos}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{6}}\right) \\ $$$$\:\mathrm{is}\: \\ $$

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