Question Number 168461 by mathlove last updated on 11/Apr/22
![y=(sin x+cos x)^2 −1 Minemum praice of[((3π)/2),((7π)/2)]](https://www.tinkutara.com/question/Q168461.png)
$${y}=\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)^{\mathrm{2}} −\mathrm{1} \\ $$$${Minemum}\:{praice}\:{of}\left[\frac{\mathrm{3}\pi}{\mathrm{2}},\frac{\mathrm{7}\pi}{\mathrm{2}}\right] \\ $$
Commented by mr W last updated on 11/Apr/22
$${y}=\mathrm{sin}\:\mathrm{2}{x} \\ $$$${y}_{{min}} =−\mathrm{1}\:{at}\:{x}={k}\pi−\frac{\pi}{\mathrm{4}}=\frac{\mathrm{7}\pi}{\mathrm{4}},\frac{\mathrm{11}\pi}{\mathrm{4}} \\ $$