Решите тригонометрическое неравенство: \(sin^2x+2,5sinx+1<0.\) \((-\frac{5\pi}{6}+2\pi{n};--\frac{\pi}{6}+2\pi{n}),n{\in}Z\) \((-\frac{\pi}{4}+\pi{n};\frac{\pi}{4}+\pi{n}),n{\in}Z\) \((-\frac{\pi}{2}+\pi{n};\frac{\pi}{4}+\pi{n}),n{\in}Z\) \((-\frac{3\pi}{4}+\pi{n};\frac{5\pi}{4}+\pi{n}),n{\in}Z\)

Задание

Решите тригонометрическое неравенство: \(sin^2x+2,5sinx+1\lt 0.\)

\((-\frac{5\pi}{6}+2\pi{n};--\frac{\pi}{6}+2\pi{n}),n{\in}Z\)
\((-\frac{\pi}{4}+\pi{n};\frac{\pi}{4}+\pi{n}),n{\in}Z\)
\((-\frac{\pi}{2}+\pi{n};\frac{\pi}{4}+\pi{n}),n{\in}Z\)
\((-\frac{3\pi}{4}+\pi{n};\frac{5\pi}{4}+\pi{n}),n{\in}Z\)