Номер 475 ГДЗ Алгебра 10–11 класс, Алимов 2023, страница 143

Вычислить:

1. $\cos\left(-\frac{\pi}{6}\right)\sin\left(-\frac{\pi}{3}\right) + \operatorname{tg}\left(-\frac{\pi}{4}\right)$;
2. $\frac{1 + \operatorname{tg}^2\left(-\frac{\pi}{6}\right)}{1 + \operatorname{ctg}^2\left(-\frac{\pi}{6}\right)}$;
3. $2\sin\left(-\frac{\pi}{6}\right)\cos\left(-\frac{\pi}{6}\right) + \operatorname{tg}\left(-\frac{\pi}{3}\right) + \sin^2\left(-\frac{\pi}{4}\right)$;
4. $\cos(-\pi) + \operatorname{ctg}\left(-\frac{\pi}{2}\right) - \sin\left(-\frac{3}{2}\pi\right) + \operatorname{ctg}\left(-\frac{\pi}{4}\right)$;
5. $\frac{3 - \sin^2\left(-\frac{\pi}{3}\right) - \cos^2\left(-\frac{\pi}{3}\right)}{2\cos\left(-\frac{\pi}{4}\right)}$;
6. $2\sin\left(-\frac{\pi}{6}\right) + 3 + 7{,}5\operatorname{tg}(-\pi) + \frac{1}{8}\cos\frac{3}{2}\pi$.