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Question Number 83739 by jagoll last updated on 05/Mar/20

$$\mathrm{what}\mathrm{is}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$$\mathrm{f}\left(\mathrm{x}\right)={(\sin \mathrm{x}+\csc \mathrm{x})}^2+\sec \mathrm{x}+\cos \mathrm{x}$$

Commented by MJS last updated on 05/Mar/20

$$-\mathrm{\infty }$$$$\mathrm{local}\mathrm{minima}\mathrm{at}$$$$x\approx .924702\Rightarrow f\left(x\right)\approx 6.46912$$$$x\approx 5.35848\Rightarrow f\left(x\right)\approx 6.46912$$$$\mathrm{for}0⩽x<2\pi$$

Commented by jagoll last updated on 05/Mar/20

$$\mathrm{the}\mathrm{answer}9\mathrm{sir}$$

Commented by MJS last updated on 05/Mar/20

$$\mathrm{how}?$$

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