Вычисли синусы, косинусы и тангенсы углов 120°, 135°, 150°.

Выполняю задание 1016: вычислить синусы, косинусы и тангенсы углов $120^\circ$, $135^\circ$, $150^\circ$. * Угол $120^\circ$: * $\sin(120^\circ) = \sin(180^\circ - 60^\circ) = \sin(60^\circ) = \frac{\sqrt{3}}{2}$ * $\cos(120^\circ) = -\cos(180^\circ - 120^\circ) = -\cos(60^\circ) = -\frac{1}{2}$ * $\tan(120^\circ) = \frac{\sin(120^\circ)}{\cos(120^\circ)} = \frac{\frac{\sqrt{3}}{2}}{-\frac{1}{2}} = -\sqrt{3}$ * Угол $135^\circ$: * $\sin(135^\circ) = \sin(180^\circ - 45^\circ) = \sin(45^\circ) = \frac{\sqrt{2}}{2}$ * $\cos(135^\circ) = -\cos(180^\circ - 135^\circ) = -\cos(45^\circ) = -\frac{\sqrt{2}}{2}$ * $\tan(135^\circ) = \frac{\sin(135^\circ)}{\cos(135^\circ)} = \frac{\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}} = -1$ * Угол $150^\circ$: * $\sin(150^\circ) = \sin(180^\circ - 30^\circ) = \sin(30^\circ) = \frac{1}{2}$ * $\cos(150^\circ) = -\cos(180^\circ - 150^\circ) = -\cos(30^\circ) = -\frac{\sqrt{3}}{2}$ * $\tan(150^\circ) = \frac{\sin(150^\circ)}{\cos(150^\circ)} = \frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}} = -\frac{1}{\sqrt{3}} = -\frac{\sqrt{3}}{3}$