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Решите неравенство. \(6cos^{2} x-7cos x-5>0\)

Решение №32647: \( \left (\frac{2\pi}{3}+2\pi n; \frac{4\pi}{3}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (\frac{2\pi}{3}+2\pi n; \frac{4\pi}{3}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство. \(4cos^{2} x+4cos x-3>0\)

Решение №32648: \( \left (-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство. \(3cos 2x-5cos x-1\geq 0\)

Решение №32649: \( \left [\frac{2\pi}{3}+2\pi n; \frac{4\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{2\pi}{3}+2\pi n; \frac{4\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2cos 2x+8cos x-3\geq 0\)

Решение №32650: \( \left [-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2cos 2x-12sin x+5\leq 0\)

Решение №32651: \( \left [\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2cos 2x+16sin x+7\leq 0\)

Решение №32652: \( \left [-\frac{5\pi}{6}+2\pi n; -\frac{\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{5\pi}{6}+2\pi n; -\frac{\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(10sin^{2} x-9cos \left (x+\frac{\pi}{2}\right )-7>0\)

Решение №32653: \( \left (\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство. \(6sin^{2} x+13cos \left (x-\frac{3\pi}{2}\right )-8>0\)

Решение №32654: \( \left (-\frac{5\pi}{6}+2\pi n; -\frac{\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{5\pi}{6}+2\pi n; -\frac{\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство. \(6cos^{2} x\geq 5cos \left (x+\frac{\pi}{2}\right )+2\)

Решение №32655: \( \left [-\frac{\pi}{6}+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(4cos^{2} x\geq 4cos \left (x-\frac{\pi}{2}\right )+1\)

Решение №32656: \( \left [\frac{5\pi}{6}+2\pi n; \frac{13\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{5\pi}{6}+2\pi n; \frac{13\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2cos 2x+4cos \left (\frac{3\pi}{2}-x\right )+1\leq 0\)

Решение №32657: \( \left [\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{\pi}{6}+2\pi n; \frac{5\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2cos 2x+4sin \left (\frac{3\pi}{2}+x\right )-1\leq 0\)

Решение №32658: \( \left [-\frac{2\pi}{3}+2\pi n; \frac{2\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{2\pi}{3}+2\pi n; \frac{2\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(2+\frac{9}{cos x}\leq \frac{5}{cos^{2} x}\)

Решение №32659: \( \left [\frac{\pi}{3}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right )\cup\left (\frac{3\pi}{2}+2\pi n; \frac{5\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{\pi}{3}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right )\cup\left (\frac{3\pi}{2}+2\pi n; \frac{5\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(6+\frac{4}{cos^{2} x}\geq \frac{11}{cos x}\)

Решение №32660: \( \left [\frac{\pi}{3}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right )\cup\left (\frac{3\pi}{2}+2\pi n; \frac{5\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [\frac{\pi}{3}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right )\cup\left (\frac{3\pi}{2}+2\pi n; \frac{5\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(\frac{3}{sin^{2} x}+ \frac{4}{sin x}-4\geq 0\)

Решение №32661: \( \left [-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство. \(\frac{5}{sin^{2} x}+\frac{7}{sin x}-6\geq 0\)

Решение №32662: \( \left [-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\( \frac{1}{cos^{2} x} + \frac{3}{sin( \frac{\pi}{2}+ x)} +2\geq 0 \)

Решение №32663: \( \left [-\frac{2\pi}{3}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (-\frac{\pi}{2}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{2\pi}{3}+2\pi n\right ]\cup\left {\pi+2\pi n\right }, n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{2\pi}{3}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (-\frac{\pi}{2}+2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{2\pi}{3}+2\pi n\right ]\cup\left {\pi+2\pi n\right }, n \in \mathbb{Z}\)

Решите неравенство.\(\frac{1}{sin^{2} x-\frac{3}{cos \left (\frac{3\pi}{2}+ x}\right)+2\geq 0\)

Решение №32664: \( \left [-\frac{7\pi}{6}+2\pi n; -\pi+2\pi n\right )\cup\left (-\pi+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{6}+2\pi n\right ]\cup\left {\frac{\pi}{2}+2\pi n\right }, n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{7\pi}{6}+2\pi n; -\pi+2\pi n\right )\cup\left (-\pi+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{6}+2\pi n\right ]\cup\left {\frac{\pi}{2}+2\pi n\right }, n \in \mathbb{Z}\)

Решите неравенство.\(7tg^{2} x-\frac{1}{cos x}+1\geq 0\)

Решение №32665: \( \left (-\frac{\pi}{2}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{\pi}{2}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство.\(6tg^{2} x-\frac{1}{cos x}+1\geq 0\)

Решение №32666: \( \left (-\frac{\pi}{2}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{\pi}{2}+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \frac{3\pi}{2}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство.\(\frac{1}{tg^{2} x}-\frac{1}{sin x}-1>0\)

Решение №32667: \( \left (-\frac{7\pi}{6}+2\pi n; -\pi+2\pi n\right )\cup\left (-\pi+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (-\frac{\pi}{2}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{7\pi}{6}+2\pi n; -\pi+2\pi n\right )\cup\left (-\pi+2\pi n; -\frac{\pi}{2}+2\pi n\right )\cup\left (-\frac{\pi}{2}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство.\(\frac{1}{tg^{2} x}+\frac{3}{sin x}+3>0\)

Решение №32668: \( \left (-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Ответ: \( \left (-\frac{\pi}{6}+2\pi n; 2\pi n\right )\cup\left (2\pi n; \frac{\pi}{2}+2\pi n\right )\cup\left (\frac{\pi}{2}+2\pi n; \pi+2\pi n\right )\cup\left (\pi+2\pi n; \frac{7\pi}{6}+2\pi n\right ), n \in \mathbb{Z}\)

Решите неравенство.\(sin^{2} x\leq 2sin x\)

Решение №32669: \( \left [2\pi n; \pi+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [2\pi n; \pi+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(cos^{2} x\leq 3cos x\)

Решение №32670: \( \left [-\frac{\pi}{2}+2\pi n; \frac{\pi}{2}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{2}+2\pi n; \frac{\pi}{2}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(8sin^{4} x-6sin^{2} x+1\geq 0\)

Решение №32671: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup\left [\frac{\pi}{4}+\pi n; \frac{3\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup\left [\frac{\pi}{4}+\pi n; \frac{3\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(8sin^{4} x-10sin^{2} x+3\geq 0\)

Решение №32672: \( \left [-\frac{\pi}{4}+\pi n; \frac{\pi}{4}+\pi n\right ]\cup\left [\frac{\pi}{3}+\pi n; \frac{2\pi}{3}+\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{4}+\pi n; \frac{\pi}{4}+\pi n\right ]\cup\left [\frac{\pi}{3}+\pi n; \frac{2\pi}{3}+\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(8cos^{4} x-18cos^{2} x+9\leq 0\)

Решение №32673: \( \left [-\frac{\pi}{6}+2\pi n; \frac{\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+2\pi n; \frac{\pi}{6}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(8cos^{4} x-22cos^{2} x+5\leq 0\)

Решение №32674: \( \left [-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{3}+2\pi n; \frac{\pi}{3}+2\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(3tg^{4} x-4tg^{2} x+1\geq 0\)

Решение №32675: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup \left [\frac{\pi}{4}+\pi n; \frac{\pi}{2}+\pi n\right )\cup \left (\frac{\pi}{2}+\pi n; \frac{3\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup \left [\frac{\pi}{4}+\pi n; \frac{\pi}{2}+\pi n\right )\cup \left (\frac{\pi}{2}+\pi n; \frac{3\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)

Решите неравенство.\(3tg^{4} x-10tg^{2} x+3\geq 0\)

Решение №32676: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup \left [\frac{\pi}{3}+\pi n; \frac{\pi}{2}+\pi n\right )\cup \left (\frac{\pi}{2}+\pi n; \frac{2\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)

Ответ: \( \left [-\frac{\pi}{6}+\pi n; \frac{\pi}{6}+\pi n\right ]\cup \left [\frac{\pi}{3}+\pi n; \frac{\pi}{2}+\pi n\right )\cup \left (\frac{\pi}{2}+\pi n; \frac{2\pi}{4}+\pi n\right ], n \in \mathbb{Z}\)