Question

Найти ООФy=(корень из (0.5-sinx))\cos x

Answer 1

$y=\cfrac{\sqrt{0,5-\sin x}}{\cos x}\\0,5-\sin x\geq 0\\\sin x\geq 0,5\\\cfrac{2\pi}{3}+2\pi n\leq x\leq \cfrac{\pi}{3}+2\pi n\\\cos x\neq 0\\x\neq \cfrac{\pi n}{2}\\y\in\left[\cfrac{2\pi}{3};\cfrac{\pi}{2}\right)\cup\left (\cfrac{\pi}{2};\cfrac{\pi}{3}\right]$
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