Задание 14.6

Question

$^{\circ}$ Вычислите значение тригонометрической функции:
1) $\cos \left(-150^{\circ}\right)$
2) $\cos 210^{\circ}$
3) $\sin 315^{\circ}$
4) $\sin \left(-\frac{5 \pi}{3}\right)$

Gimli · Accepted Answer

\begin{enumerate}
\item $$\cos \left(-150^{\circ}ight)=\cos \left(150^{\circ}ight)=-\frac{\sqrt{3}}{2} ;$$
\item $$\cos \left(210^{\circ}ight)=\cos \left(180^{\circ}+30^{\circ}ight)=-\cos 30^{\circ}=-\frac{\sqrt{3}}{2}$$
\item $$\sin 315^{\circ}=\sin \left(270^{\circ}+45^{\circ}ight)=-\cos 45^{\circ}=-\frac{\sqrt{2}}{2}.$$
\item $$\sin \left(-\frac{5 \pi}{3}ight)=-\sin \frac{5 \pi}{3}=-\sin 300^{\circ}=-\sin (27 	heta+3 	heta)=\cos 30=\frac{\sqrt{3}}{2}$$
\end{enumerate}

Задание 14.6

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Задание 14.6

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